I don’t personally have any rifles that meet your criteria in terms of price. But what you need is a .22lr with a Rem 700 footprint so that one can use one of the many good chassis stocks and potentially aftermarket triggers on the market. Historically, such rifles are very spendy, such as the Remington 40x or Stiller Lonestar, which is a 40x clone but unfortunately only in single shot, or the Vudoo which seems outstanding but also very pricey. The closest rifle to meet your criteria might be the recently introduced Bergara B-14R which seems like a great value for the money. I haven’t seen many reviews on it but it seems to have enormous potential. It can use the same triggers as the Rem 700 as well as stocks. Frankly, I’ve spent more on Rem 700 footprint .22 actions than Bergara is listing this rifle for. I hope the reviews bear out as people start evaluating it.
Good luck in your search and let us know what you end up with!
PS: As I look back, you said "precision" which to me meant PRS. If you are looking at PRS, my input still applies. If you are just looking for a tack driver there are a lot more options that were previously mentioned by others, such as CZ 452, 455, 457, Tikka T1x, Sako Quad, etc. that fit well into your price range.
Pete