Ruger American compact with Ai conversion, or Go Wild with a 22" barrel and comes with AI
https://ruger.com/products/americanRifleCompact/models.html
https://ruger.com/products/americanRifleGoWild/models.html
Of the "cheap" rifles i still like the Ruger American the best. They benefit significantly from the end user putting some elbow grease (and actual grease) into them. The go wild with its cerakoted action is noticeably smoother than the standard americans, and some bolt polishing, reduced power trigger return spring and a little polishing, and youve basically completed an action job on them
Tikka t3x compact
https://www.tikka.fi/en-us/rifles/tikka-t3x/t3x-lite-compact
Stepping up the Tikkas are nice rifles right out of the gate, and i was a fan when they were in thr 500 dollar range. Now with them starting in the 650 range my money goes elswhere, but that dosent detract from the fact they ARE nice guns.
They dont come with a cheap or commonly available 10rnd option tho.
Mossberg mvp scout or patrol.
https://www.mossberg.com/category/series/mvp-series/mvp-patrol/
THIS would appear to be your huckleberry....
If im gonna knock these at all, its that the stocks are like blocks, and the actions are rough and kinda loose.
The couple I've shot....both patrols, were accurate, and worked well tho.
The Savage lightweight storm.
https://savagearms.com/content?p=firearms&a=product_summary&s=57071
Probably going to be one of the more expensive options. Lightest weight of the bunch and some neat features, It appears you can also get 10 round magazines via Savage for them. The Savage magazines are based on their center feed internal boxes which can take some finagling to work 100% also since it's a savage I wouldn't expect super tight tolerances, or fantastic action feel.... Otherwise I'd be willing to put money on this likely being the most accurate option and generally a really solid performer
There are other good options the likes of the Bargara b14 wilderness, Ruger hawkeyes... And a number of others.
The ones I listed are just what I think come closest to what you're looking for.