RE: I need advice on my first deer rifle
I don't think you'll be sorry if you go with Savage- they have always been hands down the most accurate rifles in my experience. You can also find a Stevens 200 which is basically a Savage without the accu-trigger. If you want to go for coyote & fox, I'd definetly go with something smaller than a .270, though. The .243 would probably be the best choice for what you want, but the 7mm-08, 6.5x55 & .260 Remington would be good choices too.
Don't get hung up on a scope- find a Simmons and throw it on and it'll work fine. I have a $40 Simmons on my muzzleloader that works just great for me and I've never had any issues on it. You can always upgrade to a higher-end scope years later when you are able.