Out of those two I'd get a 700. I'd run away from the 770. It's just a cheap rifle. By cheap I don't mean price I mean quality. If you are going to get a rifle get a good one that will last you a life time. The 700 is much much better. At the same time there are other rifles out there I'd get over the 700. The Savage being one of them. I'd look at both the Savage and the Marlin XL7. Both of those I'd pick over the Remington 700.
I like stainless just as it seems to hold up better but at the same time it's usually on more expensive rifles and I know quite a few people that don't like the look of it nor do they like how bright and shiny it can be when hunting.