Surgery successful! I resoldered all the pins on all three analog board connectors, and also bent the clip under the suction cup where the flyback connects to the CRT, to make sure it was making solid contact. It lives! The burning smell seems to have vanished too. I tested it outdoors, in case the whole thing burst into flames when powered on.



One mystery, though: Floppy Emu failed to start up when connected to the external floppy port, which is something I've never seen before. I poked and wiggled and hit Reset a bunch of times, and then it started working. Maybe the 5v supply is out of spec, and causing trouble for Floppy Emu... I'll check it out.