George,
Approx. 3 months ago, I began my quest to find the perfect medium-game cartridge - something to fill the "gap" between my .243 Win. and a future .30-06 a friend of mine is selling me next spring.
I started off asking the EXACT same question as yourself - whether .270 or 7mm-08 would be the better choice. I also considered the .260 Remington at the time, and got a lot of interesting responses about the three cartridges.
At the end of all this, looking at the results of a survey I posted for 2 months, talking extensively with shooters at local gunstores, talking with my hunting friends, and examining various rifles, I decided what caliber I would buy for my perfect deer gun:
6.5x55 Swedish Mauser
Long reply to your post, but I wanted to give you a bit of background before suggesting the Swede.
Best wishes,
Bawko