Well, without the grips all mags drop free.
With the grip screws not tightened too much, the mags all drop free. I'm not used to rubber grips, all my other pistols have either wood or plastic and tight is pretty easy to find. I think I was compressing the rubber grips into the metal frame a hair too much and it was hanging up some of the mags.
Problem solved, it seems. Thanks for the help!