Well, I believe you have supremely too much gun for whitails, even the giants ones in upstate NY.
I would very respectfully disagree with the person who said to use a Nosler Partition. Nosler Partitions are specifically designed to be very tough, and achieve very deep penetration with controlled expansion. Your number one problem with your rifle will be that the bullet will want to go straight through, in one side and out the other, without expansion, leaving you with a .30 inch hole, in and out. Whitetail are not regarded as tough game, and you don't need a really tough bullet. I think that you will need to search for a medium weight bullet, with the characteristics of the Remington Core-Lokt.
As for recoil, the computation of free recoil energy for a cartridge is a pure math formula. It isn't an opinion. Its a fact. So, when folks say that they don't mind the recoil of a .300 Mag,, its all about personal tolerance of the resulting rearward punch, and how well the rifle fits you. If you weigh 220 pounds, I'll bet its not too bad. If you weigh 145 pounds, then you may be counting your crowns after every shot.