Unfortunately, the concept behind the AR-7 design is worlds better than the way it's been executed by the various manufacturers. I've owned at least one example from all of the outfits who've made them over the years, and only my first Armalite-made worked worth a hoot. At least it would feed most of the time and didn't have some part fail in short order.
My final exercise in wishfull thinking with the design is the Henry rendition currently moldering in its box because the cast metal barrel housing cracked at the extractor cut after fewer than 500 rds.
The company won't address the problem unless I send the entire rifle back to them and pay for the shipping both ways.
I think I can understand a logical purpose for why they'd rather examine the whole rifle rather than just the barrel assembly. But when they flatly refuse to consider refunding any of the costs involved under any circumstances and those amount to about half the retail cost of the item (about triple their price for a replacement barrel) despite their claim of a "Lifetime Warranty", I quit.
IIWY, I'd look for a Browning .22 auto. If the price is too much for your budget, Norinco made a very servicable copy of the design for about half the cost. They're still seen fairly often on Gun Broker and the like in NIB or EX. condition in the under $200 range.
Another semiauto option would be the Marlin "Papoose". Still in production, IIRC, and very dependable.
I like my Springfield M6 .22/.410 combo, but they're getting harder to find and fairly pricey. They make a very practical working tool, but might not be your idea of a 'fun' plinker.
The carbine versions of the Rossi M62 pump stow easily in a pack when taken down, too. The design is rugged and reliable plus they're available in stainless if you prefer.
IMO, about anything would be a better, more reliable option than the typical AR7.