> Medical tourism is going to be a real and ongoing problem
Indeed, and I'm not sure what can be done about it, the following article covers the subject quite well I thought:
www.imtj.com/articles/2009/ripple-effect-30020/
I suppose one solution is not to make it free!
If you are located in a country that provides free medical care in the first place, that could be a working solution. (UK for example.)
Perhaps people might only be entitled to medical care after they have lived in the community for 6 months, but even then, you are perhaps just delaying the situation. (Eg. people might move there who have a family history of medical needs on the basis that these future needs will be met.)
Medical care tends to be an ever increasing hole to pour money down, so I think one would need to be careful just how much one budgets, and how one allows access to it. (Otherwise, as the article mentions, a lot of local people are going to be pissed when someone comes in and takes unfair advantage of the system by que jumping over them.)