Long time since this thread started...but maybe you haven't made your selection yet. If you did, I'd be interested in what you chose, and what your thoughts are now. If you didn't, I have the .270 Browning BAR MkII Safari w/BOSS, which has been my go-to deer rifle for over 20 years, and which I have loved dearly (also comes in .30-06, with or without the BOSS accurizing/muzzle brake system). I also have the H-K 630 (5.56) and the 940 (.30-06) sporting semi-autos that a previous poster sent a picture of. They are great shooters, but the recoil is a little heavier because of the roller-lock recoil system compared to the gas system of the Browning. I use the 630 most often now for varmints. Lastly, I have two Winchester Model 100's in .308 from the early and mid-'60s that I got last year. I have fallen in love with the Model 100 and can't say enough good about it. They are 1 MOA shooters with the softest recoil (gas action) of any of my deer caliber rifles, and are a dream to shoot. They are readily available on the on-line sites starting at $475 or so (pretty rough) and going up to $1000 or so depending on condition (many do have scopes, though). I was going to give the .308's to my daughters to use for deer hunting, mostly due to the soft recoil and ease of follow-up shots, but I want one for myself, so I'll have to get another one for me. I have redone the stocks (hand-rubbed oil finish), reblued them (Ox-Phos) and put scopes on them, and worked up sub-MOA hand loads for them (150 gr Hornady SST/44.0 gr IMR 4064).
So, in conclusion, don't rule out a used Winchester Model 100, but you will love the Browning BAR too, if you're going to buy new. The H-K is interesting, reliable, accurate, but could be more expensive, and will also be a used gun. I'm curious to see what you do/have done and any thoughts.