Time to start putting the K341 back together.
I'm going to do this in detailed fashion, as much as I can document, for two reasons:
1) So you guys that know what you're doing can catch any mistakes I might make (so watch closely and let me know!,) provide better ideas, and...
2) To show things in much greater detail than the service manual, so guys like myself who haven't done this before can feel more confident about doing the job, and can reference this build-up when they do it themselves.
I'll use the Kohler Service Manual's numbered order of reassembly steps: