Flip, only you know what kinds of shots you take.
Let me appeal to you to consider a 7mm RM
With a 180 VLD at 2950fps the trajectory looks as follows:
200 Yard Zero 10mph crosswind
400 -4.3 el 1.9 wind 2273 ftlb
600 -9.6 el 3.0 wind 1808 ftlb
800 -16 el 4.3 wind 1422 ftlb
1000 -23.6 el 5.7 wind 1100 ftlb
The 308, on the other hand (175 SMK @ 2600fps)
200 yd zero 10mph crosswind
400 -8.2 3.1 1442 ftlb
600 -14.3 5.1 1031 ftlb
800 -24.7 7.5 712 ftlb
1000 -38.2 10.3 478 ftlb
With a decent brake on it, recoil should be no problem. Otherwise you are really limiting yourself to 600 yards, which is perhaps all you need. The 7RM or 7WSM for that matter is about as low as one can go and still have the means to reach out a bit. You might prefer the short action WSM with the weight limit you have in mind.
Originally Posted by SidecarFlip
I hear John likes the 308 caliber and I'm leaning toward that in as much as 308 has been my favorite caliber for quite a while. I have a dandy Savage lightweight hunter right now that shoots excellent groups for a factory rifle and I like a 308 for bullet weight and ease of procuring good brass plus the variety of pills themselves plus a 308 don't try to break your shoulder with every ignition.