Savage! Great guns out of the box, and they get even better with a few hundred rounds through them. You get a 270 and want to swap out for something later, it is a simple barrel (and even boltface if you want) swap and you have something new for little cash outlay. I have several Savage rifles, and just keep buying them.
Ditto on the Stevens if ya want to go a little cheaper. You can work on the trigger and get it decent or go to a SSS trigger down the road (money WELL spent). They also make a great basis for a build if you want to later on.
They probably won't shoot any better (and sometimes worse), but a Model 70 or 700 wouldn't be a bad buy either. I have a soft spot for the M70 in a hunting rifle, but just can't bring myself to buy more since my Savages shoot so well (and prices are pretty high for them right now).
The base 700s (SPS, ADL, BDL) aren't too bad, but accuracy has been known to be suspect lately. The upper models (VS, P, LTR, etc) are nice and accurate out of the box. The only 700 I have anymore is an LTR in 308 on a McMillan A5 stock. Try to buy one without a J lock if possible. The 700 is the small block Chevy of rifles, and you can pretty much do anything you want with one if you want to customize yours later on.
Lastly, I like your choice in 270. It is one of my favorite whitetail rounds, and I wouldn't hesitate to take anything with it that I would take with a 30-06. It's a nice argument when I see my dad, as he is a die hard 06 fan.