I believe that for routine monitoring of labs, in particular, telemedicine with your own provider is an excellent way to receive needed care and follow up while traveling.
I have done labs all over the country for 17 years, have them faxed to my provider at home and then we have a phone call to discuss and go over any med changes.
The “telehealth” appointments didn’t really begin until Covid, for me, they were before just phone consults usually with a nurse or nurse practitioner.
Any of the big pharmacy chains can fill your prescriptions wherever they are, and I like Walgreens, personally.
Unless in an emergency, this is the best way to receive ongoing care and still be able to travel, iMHO.
Maggie