308. Difference trajectory is not enough to matter. With a 200 yard 0 The 308 will hit within an inch of 7-08 at 300. 7-08 is lighter recoil. But really, just about anyone can handle either, including women and kids. Go with the bigger hole.
I agree Id go with the .30 caliber all day. I reload so there is so much more to work with there.