Don't complicate it, I'd go with triggers.  There is no shame in using them, this is what they are there for.  
To avoid lots of logic in the triggers, I add an "Editable" bit column into the header table, then basically use a divide with Editable to either work or cause a divide by zero error, which I CATCH and convert to a Invoice is not editable, no changes permitted message.  There are no EXISTS used to eliminate extra overhead. Try this:
CREATE TABLE testInvoices
(
     InvoiceID   INT      not null  IDENTITY(1,1) PRIMARY KEY
    ,Editable    bit      not null  default (1)  --1=can edit, 0=can not edit
    ,yourData    char(2)  not null  default ('xx')
)
go
CREATE TABLE TestFees
(
    FeeID     INT IDENTITY(1,1) PRIMARY KEY
   ,InvoiceID INT REFERENCES testInvoices(InvoiceID)
   ,Amount    MONEY
)
go
CREATE TRIGGER trigger_testInvoices_instead_update
ON testInvoices
INSTEAD OF UPDATE
AS
BEGIN TRY
    --cause failure on updates when the invoice is not editable
    UPDATE t 
        SET Editable =i.Editable
           ,yourData =i.yourData
        FROM testInvoices            t
            INNER JOIN INSERTED      i ON t.InvoiceID=i.InvoiceID
        WHERE 1=CONVERT(int,t.Editable)/t.Editable    --div by zero when not editable
END TRY
BEGIN CATCH
    IF ERROR_NUMBER()=8134 --catch div by zero error
        RAISERROR('Invoice is not editable, no changes permitted',16,1)
    ELSE
    BEGIN
        DECLARE @ErrorMessage nvarchar(400), @ErrorNumber int, @ErrorSeverity int, @ErrorState int, @ErrorLine int
        SELECT @ErrorMessage = N'Error %d, Line %d, Message: '+ERROR_MESSAGE(),@ErrorNumber = ERROR_NUMBER(),@ErrorSeverity = ERROR_SEVERITY(),@ErrorState = ERROR_STATE(),@ErrorLine = ERROR_LINE()
        RAISERROR (@ErrorMessage, @ErrorSeverity, @ErrorState, @ErrorNumber,@ErrorLine)
    END
END CATCH
GO
CREATE TRIGGER trigger_testInvoices_instead_delete
ON testInvoices
INSTEAD OF DELETE
AS
BEGIN TRY
    --cause failure on deletes when the invoice is not editable
    DELETE t
    FROM testInvoices            t
        INNER JOIN DELETED       d ON t.InvoiceID=d.InvoiceID
        WHERE 1=CONVERT(int,t.Editable)/t.Editable    --div by zero when not editable
END TRY
BEGIN CATCH
    IF ERROR_NUMBER()=8134 --catch div by zero error
        RAISERROR('Invoice is not editable, no changes permitted',16,1)
    ELSE
    BEGIN
        DECLARE @ErrorMessage nvarchar(400), @ErrorNumber int, @ErrorSeverity int, @ErrorState int, @ErrorLine int
        SELECT @ErrorMessage = N'Error %d, Line %d, Message: '+ERROR_MESSAGE(),@ErrorNumber = ERROR_NUMBER(),@ErrorSeverity = ERROR_SEVERITY(),@ErrorState = ERROR_STATE(),@ErrorLine = ERROR_LINE()
        RAISERROR (@ErrorMessage, @ErrorSeverity, @ErrorState, @ErrorNumber,@ErrorLine)
    END
END CATCH
GO
CREATE TRIGGER trigger_TestFees_instead_insert
ON TestFees
INSTEAD OF INSERT
AS
BEGIN TRY
    --cause failure on inserts when the invoice is not editable
    INSERT INTO TestFees
            (InvoiceID,Amount)
        SELECT
            f.InvoiceID,f.Amount/i.Editable  --div by zero when invoice is not editable
            FROM INSERTED                f
                INNER JOIN testInvoices  i ON f.InvoiceID=i.invoiceID
END TRY
BEGIN CATCH
    IF ERROR_NUMBER()=8134 --catch div by zero error
        RAISERROR('Invoice is not editable, no changes permitted',16,1)
    ELSE
    BEGIN
        DECLARE @ErrorMessage nvarchar(400), @ErrorNumber int, @ErrorSeverity int, @ErrorState int, @ErrorLine int
        SELECT @ErrorMessage = N'Error %d, Line %d, Message: '+ERROR_MESSAGE(),@ErrorNumber = ERROR_NUMBER(),@ErrorSeverity = ERROR_SEVERITY(),@ErrorState = ERROR_STATE(),@ErrorLine = ERROR_LINE()
        RAISERROR (@ErrorMessage, @ErrorSeverity, @ErrorState, @ErrorNumber,@ErrorLine)
    END
END CATCH
GO
CREATE TRIGGER trigger_TestFees_instead_update
ON TestFees
INSTEAD OF UPDATE
AS
BEGIN TRY
    --cause failure on updates when the invoice is not editable
    UPDATE f 
        SET InvoiceID =ff.InvoiceID
           ,Amount    =ff.Amount/i.Editable --div by zero when invoice is not editable
        FROM TestFees                f
            INNER JOIN INSERTED     ff ON f.FeeID=ff.FeeID
            INNER JOIN testInvoices  i ON f.InvoiceID=i.invoiceID
END TRY
BEGIN CATCH
    IF ERROR_NUMBER()=8134 --catch div by zero error
        RAISERROR('Invoice is not editable, no changes permitted',16,1)
    ELSE
    BEGIN
        DECLARE @ErrorMessage nvarchar(400), @ErrorNumber int, @ErrorSeverity int, @ErrorState int, @ErrorLine int
        SELECT @ErrorMessage = N'Error %d, Line %d, Message: '+ERROR_MESSAGE(),@ErrorNumber = ERROR_NUMBER(),@ErrorSeverity = ERROR_SEVERITY(),@ErrorState = ERROR_STATE(),@ErrorLine = ERROR_LINE()
        RAISERROR (@ErrorMessage, @ErrorSeverity, @ErrorState, @ErrorNumber,@ErrorLine)
    END
END CATCH
GO
CREATE TRIGGER trigger_TestFees_instead_delete
ON TestFees
INSTEAD OF DELETE
AS
BEGIN TRY
    --cause failure on deletes when the invoice is not editable
    DELETE f
    FROM TestFees                f
        INNER JOIN DELETED      ff ON f.FeeID=ff.FeeID
        INNER JOIN testInvoices  i ON f.InvoiceID=i.invoiceID AND 1=CONVERT(int,i.Editable)/i.Editable --div by zero when invoice is not editable
END TRY
BEGIN CATCH
    IF ERROR_NUMBER()=8134 --catch div by zero error
        RAISERROR('Invoice is not editable, no changes permitted',16,1)
    ELSE
    BEGIN
        DECLARE @ErrorMessage nvarchar(400), @ErrorNumber int, @ErrorSeverity int, @ErrorState int, @ErrorLine int
        SELECT @ErrorMessage = N'Error %d, Line %d, Message: '+ERROR_MESSAGE(),@ErrorNumber = ERROR_NUMBER(),@ErrorSeverity = ERROR_SEVERITY(),@ErrorState = ERROR_STATE(),@ErrorLine = ERROR_LINE()
        RAISERROR (@ErrorMessage, @ErrorSeverity, @ErrorState, @ErrorNumber,@ErrorLine)
    END
END CATCH
GO
here is a simple test script to test out the different combinations:
INSERT INTO testInvoices VALUES(default,default) --works
INSERT INTO testInvoices VALUES(default,default) --works
INSERT INTO testInvoices VALUES(default,default) --works
INSERT INTO TestFees (InvoiceID,Amount) VALUES (1,111)  --works
INSERT INTO TestFees (InvoiceID,Amount) VALUES (1,1111) --works
INSERT INTO TestFees (InvoiceID,Amount) VALUES (2,22)   --works
INSERT INTO TestFees (InvoiceID,Amount) VALUES (2,222)  --works
INSERT INTO TestFees (InvoiceID,Amount) VALUES (2,2222) --works
update testInvoices set Editable=0 where invoiceid=3 --works
INSERT INTO TestFees (InvoiceID,Amount) VALUES (3,333) --error<<<<<<<
UPDATE TestFees SET Amount=1 where feeID=1 --works
UPDATE testInvoices set Editable=0 where invoiceid=1 --works
UPDATE TestFees SET Amount=11111 where feeID=1 --error<<<<<<<
UPDATE testInvoices set Editable=1 where invoiceid=1 --error<<<<<<<
UPDATE testInvoices set Editable=0 where invoiceid=2 --works
DELETE TestFees WHERE invoiceid=2 --error<<<<<
DELETE FROM testInvoices where invoiceid=2 --error<<<<<
UPDATE testInvoices SET Editable='A' where invoiceid=1 --error<<<<<<< Msg 245, Level 16, State 1, Line 1 Conversion failed when converting the varchar value 'A' to data type bit.