Versed is not an opiate, is is an anti-anxiety and used for light short sedation in procedures like this or colonoscopy. I don't think there will be an issue with the suboxone and you will probably me much more comfortable taking the Versed. I would definitely tell the doctor though because they need to know the meds you are on - especially mixing a benzo type med with suboxone. Work with them and they will work with you.
Do you have a doctor prescribe your Suboxone? If your family doctor is the one doing the procedure and is on top of things, wouldn't they find out through a database that you are taking the Sub anyway, if prescribed through a doctor? It kinda scares me for you that you would have a procedure done that requires the sedation and they don't know you are on Sub, how are they going to know how much to give you? I would just be honest with your family doc. He can't pass on your confidential information anyway, right?
I take it another doctor is prescribing the Sub?? Why not tell this doctor?