I am Canadian Travels, National parks are NFZ, some provincial parks
may have restrictions and you should ask if you can fly, they will be nice about it. If you want to see wild animals provincial parks will not deliver any thing bigger than a bird or a squirrel, too many people around. If you keep enough distance not to freak out the animals you shouldn't get bothered. Don't fly in peoples bubble and show respect and they won't bother you more likely ask you a few questions. You will have a better chance to see big game like moose somewhere out on the highway and they will be gone by the time you get your drone out. I have flown from Ontario to Newfoundland and never got bothered.(not in one flight! lol) I have Headplays and I usually take people I just met out for a ride. Don't fly over people and houses or cities and all should be fun. Canada has 3.8 million square miles I'm sure you will need a few batteries.

Banff National park is huge(NFZ), and there are many many beautiful places outside the park. Drone or not you should drive the park end to end like from Calgary to Jasper (hike to the base of mount Robson) and drive back down in the park, if you keep going to Edmonton and then back down to Calgary out of the mountains, that's boring, stay in the mountains. If you like Colorado and Montana you will love the Canadian Rockies. And with your money you can stay 3 nights for the price of 2. We are celebrating our country's 150 years so National Park admission will be free this year! welcome and enjoy.