You have a huge amount of public access right in town. For a better trip, I'd 'drop the dime' and hire a guide for a float trip. That said, two things to keep in mind is YOU WILL NEED lots of 'bug juice.' If they have a wet spell, the bugs come out in force!!
Secondly, if you're 'bank fishing' the Elk can be a royal pain in the asss; and they're a
hell of a lot bigger than you are (not to mention the rack of horns!!

pointed at you).
Forgot to add: the Bow river is a
big one, but excellent trout fishing.