The .mdf isn't executing as an .mdb is. In other words, you won't need to configure your .mdf file, with a password, as SQL Server will handle the security for authentication and authorization.
Access won't help much with your desire to stick with stored procedures, unfortunately.
Suggest that there are too many potential issues with deploying SQL Server Express alongside your app. It may be the case that the value of stored procs, in this case, may not be enough to warrant the hassle of installing SQL Server Express.
Evaluate the work being done inside those stored procs. Are they CRUD only, or much more complex. What is your reason for stored procs in this single-user app?
Consider re-architecting your application to:
- use parameterized queries. Move the body of the stored procs into a constant string.
- SQL Server Compact Edition
Balance the time-to-refactor with the potential customer-support issues!
Please consider the blogpost by Steve Lasker (Stored Procedures & SQL Server Compact-The Great Debate). It's got some great insight on assessing whether stored procs are the right tool for the job in regards to client applications.
Some Updates:
It sounds like you are trying to avoid that .mdf getting out of your hands. You CAN take some measures to lock down the data within - encryption of the data, but there isn't a 100% solution to avoid your .mdf being taken elsewhere. As you comment, once it's in the customer's hands, it's out of yours. :)