Of the choises you listed, i'd grab the 7-08 and run, as it easily has plenty of power for any deer, or blk. bear. I wouldn't be afraid to hunt even bigger game than deer/blk. bear with it, useing Nosler Partitions, and keeping the ranges reasonable. It's a lot of power in a non magnum short action rifle, with low recoil. Hard to beat that combo....
My personal choise is a light weight 7 express Rem. (280 Rem.) that i have, it's been great for the deer, blk. bear, and caribou ect.. i've taken with it.. It's light, easy to shoot, and i'll never part with it!! :>
Drilling Man