M1911A1s are very much like computers in that there's almost no upper limit on what one CAN pay for one, but one needn't max-out their plastic to get a very very good one. The Les Baer & Wilson Combat pieces are true works of art, that will enable almost any shooter to become their personal best with a 1911A1. But for shooters on a budget, all is not lost.
When we were both considerably younger, my SA National Match .45 ACP out-shot a handful of Colt Gold Cup owners, in informal matches where there was money on the line. I doubt that I or my pistol would be capable of a repeat result (we're 2 decades older, now), but I still shoot better with it than with any other sidearm I own. In more serious "competition", in which the winner's prize was the ability to walk away, it served me better than any I think any other platform could have. If I am unfortunate enough to find myself in such situations again, I'll hope I'm with my SA National Match 1911A1.
I've yet to shoot a model of 1911 from RIA with which I wasn't thoroughly pleased. They won't impress owners of a Colt Gold Cup or SA National Match, but they seem to be far more than merely adequate in terms of accuracy, reliability and durability. They're just darned good pistols for the money. One may easily pay twice their price for a 1911A1, but I doubt that a pistol of twice their value will be obtained.
If the price is in the right range, look closely also at the Iver Johnson 1911s of whatever variation. I haven't shot one yet, but fit & finish on the ones I've inspected suggests to me that they'll shoot QUITE well.