Lots of opinions on how to go about a good 7stw.
My personal 7stw is a rem 700 action that was a LH adl (from back when they were polished too) that was converted to bdl and had a 10" twist 7mm barrel installed and chambered in 7mmstw. The previous owner installed a 3 position safety and worked on the trigger. I pillar bedded/ epoxy bedded the stock, replaced the rings/bases, and re-worked the trigger as the previous trigger job was sub par. Fed the beast
My buck this year...
My father didn't jump through any hoops with his 7mmstw and simply bought a 700bld dm-b rifle when they were a factory option. It shoots 1/2 moa without any trouble and it a pussycat recoil wise. It was an easier decision then, as rem quality was good and you also had the m70 and mkv in 7mmstw if you didn't want to go rem.
Your options now are the sps, a cooper, rechambering a 7rem (need a la action here- actions such as the ruger 77 aren't long enough), and going custom/ semi custom. I'd personally either buy a used rem bdl dm-b, a sendero, the cooper, or semi custom. With your cost ceiling you are looking at either used or a semi-custom with rebarreling a rem 700 action and a laminate from boyds as likely options. I wouldn't re-chamber a 7rem unless the existing barrel is a known shooter but nearly new. Full custom and the cooper will leave you without scope as they cost too much already. The sps is shaky, one guy gets a good one, the next has to re-barrel to get a shooter.
7mm STW Brotherhood - For those who shoot the 7mm Shooting Times Westerner