Ehh, you're thinking too small minded to approach the topic of hospitals in a communist society.

There would be far more doctors because the biggest barrier to entry is the cost of years upon years of schooling. If anyone who wanted and was capable were able to simply go to school without taking on huge debt or needing help, far more would try.

On top of that, if there was no money incentive to go be a doctor in a big city, far more people would be good doctors near small towns.

You would absolutely NOT have to travel thousands of miles and be away from your family, unless you had a novel disease that literally only a select few knew how to treat. You'd also still be in much better spirits knowing treatment wouldn't impoverish you.

I agree with most of that, but I think I still need to bring up the benefits of centralised health services. In simple cases, you don’t really need that, but in tricky cases you might. For example, if you need an MRI scan before surgery, you just can’t rely on travelling doctors. Those machines are expensive, so you’re only going to have those in large cities where they can be used more frequently.

Surgery also benefits from being a centralised service. You can’t expect a traveling surgeon to carry all the stuff you need for keeping the whole room clean. Besides, the room itself needs special equipment. A simple scalpel and a steady hand aren’t enough to make it work.