Ouch, ingrown toenails are painful, though I don't think I've ever had the double-whammy of an infection with it. Sounds as though you may have recurring ingrown issue with this, but just a reminder to trim the toenails straight across and wear rounded-toe (vs pointy-toe) shoes that doesn't pinch your toes. You might also try some epsom salt soaks each night -- bring along a small tub and you can do this in your resort room.
I'll just forewarn that knowing a doctor's name and getting an emergency appointment may be two different things. As a "new patient" they may not prioritize your request for an appointment. Around here it can still be a couple of weeks to get an appointment if someone isn't an already established patient at that podiatry practice. Urgent Care may be your best option as a back-up to preventative measures. If urgent care can't resolve the matter, then they could help to push you through to a specialist.
