No, we don't. I'm from Manitoba and I got to school in Saskatchewan. I pay the same as "locals" do. International students are a different story though.
And for the University of British Columbia, I was dead set on going there after I graduated, but it was just too far for me. It would be too expensive going back and forth across provinces, so I chose something closer to home. The skiing scene here on the prairies is awful. The hills are mediocre, and there are only snowboard shops that never accommodate skiers, especially in competitions. But, I still LOVE skiing and enjoy it every chance I can, but if you have the opportunity to go to UBC, UBC Okanagan, or any other university in the west, take advantage of it.
Another option I would suggest to you is to take a gap year. If you are going to be more focused on skiing than your school work, you are just wasting money for right now. I was considering going to school just for the fall term and going west for the winter term. You really do only live once, and skiing in the mountains is an opportunity of a lifetime.
TL;DR: Go west any way that you can. You won't regret it, and consider taking a gap year and go skiing 100%. School will always be there when you are ready.