I have, or have owned, Remington 37s, Remington 40s, and Winchester 52s, all good rifles.

A couple of years ago I bought a Marlin XT-22VR from Cabela's for around $150 and have been pleasantly surprised how accurate it is. I don't shoot open sights, but with a KT-15 installed it is far more accurate than a common as dirt $150 Marlin ought to be. I did swap the injection molded stock out for a Boyds Pro Varmint laminated stock. If you want to shoot iron sights, I'm sure that the XT-22 action and barrel could easily be d&t.