Price considered first, and talking used (as your proposed purchase is) I'd go Ruger, Remington, Winchester.
Shooting quality considered, and judging only from my experience with a limited universe of the three, I vote Remington, Ruger, Winchester.
New guns I don't know. Have seen many complaints about the newer Remingtons (mine are all pre 1990) so I'd be darn choosy about investing in a more recent model. Winchesters of the last few Connecticut years were pretty good. FN Model 70's had better be darn good to match their hype. Older M70's have mystique that is greater than their general usefulness: A good gun that's priced like a GREAT gun being no bargain. My 1984 M70 is a good, smooth tough rifle that I bought at a bargain price, but it isn't as accurate as my tang-safety Ruger or any of my 700's.
I guess on balance, I'd go for an older Remington.
But that's me, not you.

The Wise said: "This cannot be done". The Fool came, and did it.