Sorry to hear about your misfortune with the Buckmark. I admit you've been more gracious to Browning than I would have been. When I shell out big bucks (even $239) for a firearm, I expect it to work! Then again, I've bought TVs and other items that were DOA, too, so I guess it happens to everyone now and again.
Anyway, for posterity's sake, I have to throw in my vote for the Ruger Mark II, though with the longer 6 7/8-inch bull barrel. I presume the Mark IIIs are good as well, but I've never handled one. I once owned a 22/45, and it was accurate and reliable. But, for hunting squirrels I think the extra heft and barrel length is nice to have, especially if you ever want to use iron sights. As was mentioned, the standard grips feel cheap. I replaced mine with a set of laminated grips from Ajax Grips, which was a big improvement.
As for the Buckmark, I've always liked the idea of it, and I know many give it high praise. But, twice in the past I've gone shopping with an open mind between the Ruger and Browning .22 autos, and both times I've returned home with Rugers. As for the 22A, they have a few devotees as well, but I've heard too many negatives to feel good about buying one.