The M1A is an excellent choice; meets your definition; it's really a lot like the Garand, but modernized with .308 and detachable magazines. The M1A is essentially the semi-auto version of the M14 that was used after the Garande and before the M16. Then there's the Ruger mini-14's- which can be different calibers- including 5.56.
Even in the AR-15/M-4 series- there's piston driven AR's- like Ruger has seven variants alone- all piston driven. I have a few of them- good rifles.. Some parts don't get lubed however. Ruger also has a 7.62x51 version- also piston driven.. Ruger stands behind their guns- from what I've heard- -for as long as you own it. American made too. I don't mind owning a Ruger- I own several- including rifles and pistols. They are solid guns and well built. With a great warranty behind it- it's never a bad deal.
I would rather own the Ruger AR's over the mini-14. I'd rather own the SR762 (someday), and the Springfield M1A is a very nice solid gun too.
My only regret is my safe queen- a .45ACP caliber carbine. It's made in NY.
If I were hell-bent on made in the USA- I'd stick to Rugers, S&W, etc. Some guns from other manufacturers have parts made in the USA; others are assembled in the USA, some have some parts made in the USA, etc;; so much grey area.