I woke up this morning feeling 100% better. Well, make that 98%. I still had a little headache, but that went away eventually. I got online and booked a fresh set of tickets for my trip. Now I'm leaving tomorrow afternoon and staying through the next Saturday. Naturally, my reimbursement from the cancelled trip did not cover half the cost, but I only had to pay $233 out of pocket, and it could have been worse. Chalk it up to "these things happen."
Now I have the day to rest and recuperate. And I'm not leaving at a crazy time in the morning, neither coming nor going. I do have a red-eye flight on the way home. Hope I will be tired enough to sleep all the way home.