You already have your big deer gun, the 30-06!!!
I have a 30-06 and a 243, recently I "filled the gap" with a 270wsm. I think the bullet weight ranges of the 7mm are too close to the 308 so I opted for the 277 diameter to better span into the 100/110 weights and leave the 70-90 grainers for the 243. I dont like 110's in the 308 diameter. THe 7mm is a great bullet diameter and has a bunch of choices for the handloader (not as much as the 308s though) but I did not want two guns that close in application, if I started with a 7mm I would never get a 30 cal, but now I would be eying the 325wsm. I think the 8mm is too close to the 308 so I wont go that direction and I am stuck waiting for a 35 wheelen to fall in my lap. But, in the end, I hunt with the 30-06 and the 12 gage, period. The BC 45/70 Im getting later this week will not be used to hunt with either most likely.