I would like the rifle alone to cost less than $1000. I am a TEENAGER so the price is a factor. Strictly .308 or .300 Win Mag. Must double as a deer gun if possible.
In that case perhaps you want to consider a heavier barreled Tikka?
I bought my Tikka for $820, and it's a fine rifle. I typically shoot in the 500-700 yard range, just because that's what's most readily available to me. Also, since I'm shooting a 20" barrel on a .308, I'm not thinking I'd call it the ideal 1,000 yard+ setup. But, prairie dogs at 500-700 yards haven't been a problem so far, and those are fairly small targets at that distance.
Also, my buddy shoots a Remington 700 SPS Tactical AAC rifle, and I think he only paid around $600 for that gun. He then threw it into a new stock for a couple hundred dollars, and called it good. He enjoys the rifle and also regularly shoots it in the 500-700 yard range with good results.
If you are looking to keep things affordable, and to do dual duty as a deer gun, the .308 warrants some real consideration. I'd use mine for elk, as well as anything smaller. The .308 is easy to find (normally) and cheap enough to shoot, and these rifles generally have a long barrel life.
Also, make sure you don't skimp on the glass/mount. You can easily spend sickening amounts of money on optics, but you can also put crap on a decent rifle and never experience any kind of decent performance. I started with a $300 Weaver Grand Slam Tactical 3-10x scope on my Tikka, and mounted it in TPS rings. It worked well for me, and was a real fine hunting setup (costing less than half of the rifle's price). For the price it exceeded my expectations, and that might be something to think about as a budget-conscious starting point. But, as I found myself doing more and more longer precision work I wanted to move into a better scope setup, and decided to go with a scope that I would still love to use if I upgraded rifles down the road. Now I'm running a S&B 3-20x in a Spuhr mount on the same rifle. I gained a noticeable advantage in my shooting with this setup (but, of course, now my optic setup is worth something like 4.75 times the cost of my rifle). So, you don't have to break the bank to enjoy shooting your new rifle, but at least spend a few hundred bucks to put something halfway decent on the rifle... then, when you completely lose your mind with this sport you can spend a fortune on upgrading glass until your rifle setup is worth more than your car!