So you are going to have to find a 3 or 4 day trip river with public land you can hunt on all the way. Too hard to try to get permission at every stop. If you are successful you are going to have to butcher or at least quarter the thing and have space for it in your canoe along with your camping gear and food, and you are going to have to keep it at the right temperature for 3 or 4 days. Could get warm.
Sounds fun but a little too complicated for me. LOL Do a 3 or 4 day fish and grouse trip.