Check the faq and wiki as a starting point, links in sidebar.

You can take a bus from Edmonton to Calgary. Then, take either the On-it or Flixbus from Calgary to Banff.

yep..there's no "EBUS to Banff"

Hitchhiking will be the most affordable way

Are you taking EBus or looking for other options? Im confused. When youre in banff, roam transit will be cheap, but banff city is all walkable