Hi
Move to AB, you get covered by AB health starting day one if you are moving from another country. I don't really know about any private insurance in ON. I don't think you need to have a job to get it, I am sure you can just buy one.
In the OP case s/he is already a PR so by moving to Alberta s/he would still have to wait for 3 months as they would consider not an initial entry.
PMM