Free: Contests & Raffles.
If your ok shooting a 7mag it would be my choice, if not then the 06. I would add an A-bolt to the mix, or the model 70 like phool said.And i agree with skillet, good equipment used is better than ok equipment new...and therea re alot of great used guns out there, some with good glass already on them...
Rem 700 in a 30-06. If you are going to own only one rifle for western big game, that's it IMHO. I am a big fan of the .270 myself, but lot's of people would say it's a little light for elk and (if you ever happen to draw) moose.
I would go with a Savage® 110 in 30/06. That caliber is the most versatile of the three you mentioned shooting 110-220gr bulets. Check out Big 5 Sporting Goods, they have Savage 110 "Package Series" in 270 Win, 30/06 Sprg, and 7mm Rem Mag on sale for $399.99+tax. You get the rifle, 3x9 scope, and sling.