I'm from about 60 miles east of Utica, but we play all of our APA Tri Cups in Utica at Hippo's House Of Billiards. Apparently, the woman that ran the place has opened her own place down the road a bit called Utica Billiards On The Boulevard. Some of the APA league tournaments (aside from the Tri Cups) are played at Utica Billiards, but I have not been there yet. Both have multiple links if you google them, and within those links are some comments that you could follow up on for your information. Both locations list their address as Yorkville, NY, but I'm guessing that is still considered Utica.
Also look at who posted reviews on Google, or Yelp for those locations. You might find a contact in there that has been in the Utica pool scene for long enough to be able to help you out.