Most restaurants won’t have staff and plates/silverware to send plus do set up and break down of an event like that.

Back when I catered I did plenty of small dinners like this. It might just depend on when you are asking for and what your budget is. (Keep in mind weekends in prime wedding/graduation season are already booked!)

If you’re on a budget, you might be better off looking at smaller caterers and food trucks for what you are looking for, not a restaurant. Or if you know people in the business, offering a cash gig to do the setup/cleanup and renting the plates and silverware yourself.