Yes, you can't avoid the cooler climate as you go north. We still get the extremes, fairly warm in the summer, good enough to grow corn and tobacco, and deadly cold in the winter. One big plus is there's nothing venomous here, no stinging ants, no poisonous spiders, or snakes, only wasps and hornets.
Regarding the paying for healthcare, it's run under federal standards, administered on a provincial (state) level, so it varies some from one jurisdiction to another. The funding comes from transfers of federal tax revenues and provincial budgets, so it has no relation to property taxes, income tax and corporate tax pay for the system.
The major efficiency gain is that it's a single payer system, no billing departments, or credit checks at the hospital level, negotiations with hundreds of insurance companies. Their office overhead is tiny compared to your system, just HR and personnel administration.
Given that everyone has relatively equal access to medical practitioners, specialist availability is greater, as they are seeing the right cases, not those with the right insurance or bank account.
An example. My son was at a waterslide pool party, slipped and whacked his head on a steel post. Off we went for stapling of the wound. It just happened one of the best head surgeons in the region was in on another call and was asked to consult on the injury, everything was routine, and our cost was zero.
I don't mind paying taxes for stuff like that. Just like I enjoy good bridges and roads and won't gripe about the fuel tax. Who does object? The rich, as they stand to save the most in individual taxes, and can better cover their own expenses. And then end up with better care, because they have a private team of high caliber doctors.
If there was no fuel tax, and the roads were horrendous, the rich would be flying over in helicopters. Always the same game.
I agree the Obama care plan was bound to be a costly fail, because his plan was far too timid to net any gain, it didn't address the structural efficiency failures of the pure for profit system.