Hi Aaron - a big congrats on the restaurant venue. Those can be great opportunites.
By sister is an artist and is currently involved in a situation like the one you describe and when my father was alive (also a professional artist) he would participate in similar opportunities.
I'm coming a little late to the party but I'm a firm believer in signing your work. After all it is YOUR work, it's something that will be a public venue, hopefully people will appreciate it for yours, and you WANT them to know who created it. I feel that a bona-fide signature always will "elevate" the work. If you have the image made as a salon style print with the white border, there is space to sign your work in pencil. In this way there is no doubt as to who the artist was, years from now, unless of course it is erased. Usually that does not happen though. It makes no difference that right now you are not a known name. At some time in the future you could very well be.
The other alternative is to sign the mat, which I have done - on the lower right hand corner. You can then title the picture at bottom center or bottom left.
Aaron, had you considered doing the matting and framing yourself? There is no question that most pro framers will do an absolutely superb job of matting and framing your work - but you pay a high premium for this expertise. Often you can purchase a "prosumer" mat cutter (eg - Logan Simplex 750) for the cost of one or two jobs. You might be interested in a thread I started just yesterday about the Logan 750:
....I just took a large chunk of the prints to the framers and realized that I did not sign them. Now, I have a really, well, unrefined signature and it is very inconsistent, so I am hesitant to take a pen to a piece of paper that cost me $85. Odds are that I will mess one of them up no matter how much practice. I can still go back on Monday and sign them if I need.
Do you think that having a signature on a print will help people value it more and be more likely to purchase it? I will be gluing a little informational panel to the back of the board with the print, artist, and contact information. I am not a "known name" of any sorts, but am wondering if adding a signature will elevate the print from decorative art to fine art.