I don't know what your 7-08 shoots like but mine would get me out to 800yds if I wanted. It'll shoot steel (30x30mm) at 1060yds and carry over 1000ftlbs out to almost 900yds with a 162gr pill.
Personally, 600yds would be my limit so don't go changing due to the chambering alone.
You may have other reasons to be looking at other rifles so with that said a 7RemMag is hard to go past.
If youre looking for something a little more comfortable to shoot then the 6.5s are great. Either a 6.5x284 or 6.5PRC will give a little more performance over the 7-08
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