FWIW, own and shoot almost all of the cartridges suggested. Don't hunt, just shoot paper at range I'm a member two or three days a weeks with mostly other retired gents. One of my favorites is the 6.5x55, followed closely by the 250 Savage and 257 Roberts. Problem with the 250S and the 257R is availability of factory ammo and sometimes finding the reloading brass for them is a problem too. Own a couple of 6.5CMs too and the 7mm-08, they're worthy of consideration.
Am aware of a fair number of our range members that prefer using the 7mm-08 for deer hunting. Had a laugh one day at one of our board of directors checking the zero on his 7mm-08 rifle shortly before deer season. I comment to him about the 7mm-08 being a good cartridge for deer and etc. His reply was to comment, yea it took me about 5 years of using and getting beat by the recoil of a 300 win mag., to realize a 7mm-o8 killed a deer quite well.