Your hunting area sounds a lot like mine and most of my shots have been 75 yards or less.

The .300 Savage cartridge is a deer killing beast and I think it would work fine for deer with any decent cup & core bullet and up.

My favorite .300 really likes the Sierra 150 grain RN bullets. I tried them just for the heck of it and was kind of surprised the rifle was so accurate with them.

Works out great for me since I've got 3 boxes of them and they kill deer decisively at the short range I hunt. I'm loading them with 4064 powder iirc.

I've got a beat up ol' 99R that doesn't care much for 150 grainers but it loves 180 grain bullets. I was given a box of Nosler 165 gr. BT's I'm going to try in it and see how that goes.