T3 Lite
I currently have a .30-06 M70 Ranger (hardwood stock) and .270 T3 Lite. The difference in mass is less than 1/2 pound. The .270/T3 has a way more violent kick than the M70. The .270 is reputed to have less recoil. I'm currently looking at a aftermarket recoil pad for the T3. I would have preferred the laminated wooden stock (for T3) but it wasn't available at the time.
I believe the 7-08 ballistics are great. 6.5 Sweede; not too bad.
Long action, short action; what does it really matter? Matching your requirements to what you are hunting is basic. Recoil is annoying. Yeah, you don't seem to notice it during the hunt, but, a casual Saturday with a box of shells and it is much more noticable (ie; not fun).
My point, be aware of the possible the recoil if you go .30-06 / T3 Lite.