Best way to do it is through a university. I went to Canada (from Australia) to Dalhousie in Nova Scotia for my final clinic. It was one of the best things I have done. They enrolled me in a subject at the university so I could be covered for the clinic. It was made even easier as a Canadian girl wanted to do clinic in Oz

Think you will find it very hard to do directly with a clinic/hospital, due to, as someone else mentioned, insurance.