I don't see how this is possible with the use of the state or not. I mean, I can throw out some ridiculous sci-fi ideas like geo-engineering and megaprojects that give every region the perfect balance of temperate seasons, agricultural productivity and variety, access to functional and esthetically pleasing waterways and pastoral landscapes that would make them all equally attractive places for people to live but that's just the definition of a utopia that will never exist.

You're also just copping out by saying "the state should handle it", who and what do you think the state is? It may come as a surprise that it's just a bunch of people who are just as imperfect and limited in their abilities as the rest. They can't simply wave their hands and make everyone happy. It make about as much sense as saying "Microsoft should handle it" or "the Catholic Church should handle it".

There are lots of places that are "desirable" to a large-enough-to-be-relevant portion of the population, but not as large a portion as the portion of the population that wants to be doctors. And they may like living there for reasons that someone who is drawn to a career in medicine might be unlikely to share.