I use 180 gr Partitions in my .30-06 and .308 and 210 gr Partitions in my .338 Win for elk and they work great. I wouldn't use anything else.
Your 165 gr Partitions should be perfect for NY deer. I would choose the Partitions over the Ballistic Tips any day.
FWIW, I saw first hand that the Ballistic Tips don't always expand like they should. I watched my hunting partner shoot an animal repeatedly with his 7MM Mag because the BT bullets would not expand. They were all good hits. Later, when we skinned it we confirmed the bullets did not expand at all.
He was using the Federal premium factory ammo which used BT bullets.
Some people claim the solid copper and some of the new bonded bullets are better than the Partitions, but I have never used them.
I have never had to shoot an animal more than once using Partitions. That's good enough for me so I see no reason to use anything else.
Good luck on your hunt.