you can get a folding stock for a m1a, probably a FAL, ak.. but those aren't gucci and new and have only been around running fine for a few decades a piece so they must suck
No. As BigJoe mentioned, there are no "new" piston driven .308 platforms on the market. The FAL and the M1A in one of the chassis systems are the only options I can think of.
Anything based even loosely on the AR-10/LR308 operating system will never have a folding stock for obvious reasons.
I do not know, I have never seen one. I am sure if you could get a tech from DSA on the line you might be able to get some info. The couple of times I have talked to a tech over there they seemed to really know FALs.