Check out the X-Bolt Max Long Range too.Here is some thing I never thought I would say but have you looked at the Browning Hells Canyon Long range rifles. I hae been working with one in 300 WM for a friend and it realy shoots. They come with a faster twist barrel to stablize heavy bullets. The one I am working with put 3 212 ELDX Hornady bullets into a .326 inch group at 100yds. They would well under your budget price to give you room for a scope or other goodies you may want.
The Hells Canyon Long Range McMillain Is another option. Nice McMillan Game Scout stock.
I just ordered the Max Long Range in 28 Nosler this weekend. So, kinda putting my money where my mouth is.