Need help identifying the manufacturer of a frost free anti-siphon faucet.

Worst case is that you bust a soldered fitting (very difficult) and have to open the wall up, which you would have had to do to replace a soldered fitting anyway. Since your water is already shutoff, give it a hard turn and see what happens.

Personally, I'd open the wall up even if it's threaded and sealed with pipe dope. Because after you replace the faucet, you want to check for leaks. It's much easier to do a little drywall patching and painting than it is to cleanup the water damage from a slow leak that goes unnoticed for days. You can also make sure the insulation is tight around the pipe so that there isn't a chance it will freeze in the winter.

I'll ante up with American Standard. Remove the top stem(s) under the handle(s), take it to the store & match up a replacement. Keep the old stem(s) until you're good & sure everything's proper.