Every now and then, a user is unsure about an edit they make. For the under 2k rep users, this is great. It goes to the review board and is dealt with.

However, users above 2k aren't given this privilege (yes, I said privilege) of having their edits peer-reviewed. 

I think that users above 2k should have the option to choose whether their edit goes to the review board or not. This can help in those occasional situations where the edit might not be right.

Maybe there can be a checkbox for "Have this edit submitted to peer review?".

This is better than doing anonymous edits as you still hold the record of the edit. It's also much easier and ties right in with SE's simplicity model.