Free: Contests & Raffles.
If you don't reload I'd recommend a 270, or maybe a 257 Weatherby if you don't mind paying twice as much for your ammo. Another option but not as much fun as buying a new rifle- switch to 150 grain bullets in your 30/06. Recoil should be a lot more tolerable.
I'm not sure why you want a heavy contour barrel. It adds weight and is of little value on a big game rifle.
I'd look hard at a rem 700 in 260 rem with a 2.5 lbs timely trigger 24 to 26 inch pipe . 4x14 vx 3 glass .... I think if you shop around you can fit the budget .