Another vote for the 7mm-08. Doesn't get the press it deserves, IMO. Light recoil, and light rounds available for it, but also has the capacity to go heavy enough to match the .308 if you ever decide you want more potent rounds. It's a nice "fill the gap" rifle that does equally well on varmints and on large game, depending on your plans for that weekend.
To compare, the .243 is basically a .308 necked down to accept lighter .243 caliber bullets. The 7mm-08 is a .308 necked down to accept not-quite-as-light 7mm (.284) caliber bullets.
In the same vein, the .25-06 and .270 are both based on the larger .30-06 case: .25-06 is necked down for .257 caliber bullets, the .270 necked down to .277 caliber bullets.
(And remembering that the .308 is a just a short .30-06, and fires the same .308 caliber bullets from a shorter case.)
There may be a little bit of overgeneralization in the above, but its a good way to get the big picture on the relationships between these calibers. Bottom line is that they're all great deer cartridges, but the necked-down .308 bullets (.243, 7mm-08) and similar cartridges (e.g. 6.5x55 Mauser) are closer to what I think of as "medium".
FWIW...
DL