I have both, and for you in your general area I'd recommend the .243. I dunno; maybe 25% less recoil than the 7mm08. IMO, the 7mm08 is maybe 10% less recoil than my '06.
The .243 is just as effective on Bambi; I've tagged a couple of dozen bucks with mine. Easily good to 200 and 300 yards, given adequate skill at shot placement.
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