Thanks, everyone! The range officer thought my gun didn't like the blunt tip of the Fiocchi ammo, or perhaps the fact that it was 115 grain ammo. I'll try something else next time. The gun was newly cleaned and lubed, so that shouldn't be a problem. I'll also work on my technique, as that appears to be a contributing factor.
I will spend more time fiddling with my .22. It really is hard to tell when the magazine is seated properly and I probably didn't quite pull the slide back far enough some of the time. Thanks for the suggestions on some of the aftermarket parts - I'll look into them!
And the real result of all of this is that I now want a full-size 1911 .45. Gah!