Whew....long phone call. Actually didn't want to leave a bad taste, I see that has not happened
As MIkey states, KEEP the SKS. I carry one when beating slashings, I just know I won't shoot just once
Love the choice on adding an additional option. I started at a few and then a few more and then a bunch more and then, well, umm TOTAL mayhem!!
I would love to steer you towards a nice 91/30 as above poster likes. I have one and boy does it shoot! If you are on "stand" this is a whole lot of rifle but has much capability. You can get a nice refurb for $80 ish range and ship, FFL etc. A decent Scout set up will get you mapping well. OR better yet a mauser variant as you mentioned.....I have become particularly interested in the 24/47 Yugos, mine shoots like a dream. Alhtough I have numerous Mausers that perform VERY well indeed at hunting ranges out to 150 (my range is short remember) and probably longer, never tried.
Revamp, learn, move on. Deer are overgrown rats and I hate em. I am in MN and the herd is not threatened by a few errant shots. Remember a lower torso shot will get plugged with "tallow" and the bleeding will stop...or not even start. Believe it or not Humans can plug gut wounds with fat as well.....nature at its finest! We are programmed to survive.
I would also be a fan of using heavy grains as well, the ft lbs of energy distrubuted is a key to causing shock to the "target". This can be attained 2 ways.....speed or mass.....or both!! But you won't speed us that 7.62 by much. You'd run out of room packing powder
Faster powder-lighter grain would speed it but its to much work to mess with IMHO.
KEEP YOUR SKS, NONE of mine are for sale. The SKS's will be "first" on the list as they have a bad rap already
Great attitude by the way....Kudos to you for understanding our suggestions.