I have owned a DPMS in 7.62 NATO for about three years and it is the finest black gun that I own. It has very little recoil... just a bit more that the 5.56 and very little muzzle rise (maybe 2 inches). It will shoot quarter sized groups at 100 yards without special loads. It likes to run wet and has gobbled up every bit of ammo that I have fed to it. If you want a 7.62 NATO semi... this is the weapon that I recommend.
Another vote for the DPMS LR-308 series. Whether you get the Scout Sniper trim or the shorty AP4 model... I’ve heard nothing but good things about them. Price, quality, and accuracy.