There are quite a few accurate rifles in the $600 ranges these days.
Weatherby Vanguard, is guaranteed sub MOA (& that's ALL of them, not just the Sub MOA models) plus there's an array of aftermarket support for customizing for Long Range.
Why do you want a clip? You just limmit your C.O.A.L. for handloads.
Personal preferance or whatever, you should be able to find a Tikka T-3 that is clip fed for a reasonable price. It'll either be a lights out shooter, or just the opposite from what I've been told.
I belive there's one or two in the LRH Classifides section. Lots of members here sell very nice, & accurate firearms to fund different projects, or gun builds. Check it out. You may save a lot of $, & they can probably tell you what to expect for accuracy on thier particular firearm. Beats taking a chance on a new one sometimes.
Good Luck.