Can't see the logic in 6.5 and 7-08, but you gotta do what you gotta do and eventually one will stand out.
OP,
I am a bit mystified as to why you would want multiple calibers so close in performance unless you just have an urge to buy two rifes. Just pick a caliber and go with it, spend the extra money on components, hunting trips, etc.
Personally I have never been able to tell the difference in recoil between the 308 and 7-08, I have not owned a 6.5 yet but from years of shooting a 260 Rem which virtually duplicates the 6.5 I can tell you that it does recoil a bit less.
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Get a T-3 in any of the above calibers and it will work for the scenario outlined in your original post. The nice thing aboiut the T-3 is that everyone I have owned has been "plug and play" - just put a scope on it and go shoot small groups.
drover