To be honest, if you can find a Rabies clinic in the area, that might be the way to go or as someone mentioned on here already Tractor Supply holds vaccination days and I believe will give Rabies as well as other vaccinations, whatever it is that you choose for your pet. Maybe you could call them and find out when they might be having one and also if you check the County Websites in the area they usually list the rabies clinics they host, with the information of where, what time, etc...
I understand about not wanting or needing to get your pet all of the other vaccinations. I used to work for a well known veterinarian in the area. He was a great man and full of wonderful knowledge. He straight up told me that our dogs only needed to be kept up on their Rabies vaccination and that was it since they never were boarded or around other dogs ever. He said he saw no need at all to have to give them a Distemper Vaccination or anything else. Of course he advised if we did ever plan on boarding them to get them the Bordetella (Kennel Cough)vaccine and that one I do agree with if your pet is ever boarded. Kennel cough is very prevalent among dogs and can make them pretty sick, more so in older dogs or immune-suppressed dogs. But, just to always be safe, I do advise that one. Rabies first and foremost and if ever had contact with a wild animal that you know of, they should return to the Vet to have a Rabies booster for that extra protection.
Ontario County Rabies Clinicshttp://www.co.ontario.ny.us/DocumentCenter/View/5097
Seneca County Rabies Clinics they already had theirs on June 13, 2015, they only had one clinic by the looks of it, which I'm surprised as most counties have various Rabies clinics in different towns.http://www.co.seneca.ny.us/wp-content/uploads/2015/04/RABIES-CLINIC-June-2015.pdf
Yates County Rabies Clinicshttp://yatescounty.org/upload/12/5966.pdf
Tractor Supply Pet Vet Clinichttp://www.tractorsupply.com/content_landing-page_pet-vet-clinic
885 Pre-Emption Rd. Geneva, NY 14456 http://www.tractorsupply.comhttp://petvet.vippetcare.com/find-a-clinic
Saturday August 01, 2015 from 1:00pm until 2:30pm
Saturday August 29, 2015 from 1:00pm until 2:30pm
Saturday September 26, 2015 from 1:00pm until 2:30pm
Saturday October 24, 2015 from 1:00pm until 2:30pm