Lots of hunting and fishing opportunities in the Calgary area.
You will be hard pressed to find better fly fishing than floating the bow. Best bet is to hire A guide for a day to learn the tips and tricks and greatly shorten your learning curve. Then head out on your own after that.
Being a non-Resident alien somewhat limits the Wildlife Management Units you can hunt. Your goal of shooting a moose should be quite attainable.
I live about 2 hours south of Calgary. Feel free to send me a PM if I can help you out with anything else.
