After several attempts at rescuing an unplayably laggy save, I took the nuclear option, deleted that town, plopped Barney, Robin and Ellie into Barnacle Bay, took them out of the house I'd saved them in, put them in another, and was actually able to play for a bit last night.
Trying a slightly different approach in the storytelling
here,
here, and
here.
Fingers crossed this won't glitch.