You want to make sure that a delete doesn't happen twice?
CREATE PROCEDURE RemovePost( @postID int )
AS
if exists(select postID from Posts where postID = @postID)
BEGIN
DELETE FROM Posts where postID = @postID
-- Do other stuff
END
This is pretty much SQL server syntax, I'm not familiar with MyISAM. But it allows stored procedures. I'm guessing you can mock up a similar procedure.
Anyhow, this will work for the majority of cases. The only time it will fail is if two moderators submit at almost exactly the same time, and the exists() function passes on one request just before the DELETE statement executes on another request. I would happily use this for a small site. You could take it a step further and check that the delete actually deleted a row before continuing with the rest, which would guarantee the atomicity of it all.
Trying to create a lock in code, for this use case, I consider very impractical. You lose nothing by having two moderators attempting to delete a post, with one succeeding, and the other having no effect.