Spey, a float trip of the duration you describe would be impossible to achieve on the Front Range of the Colorado Rockies... four days will take from put-in to the Kansas border! The first day would be trout; the rest of the trip carp along the flat expanses of the 'Great American Desert'...
...some BIG carp, perhaps- but probably not the trip you're looking for.
Good luck with what sounds the trip of a lifetime. Best, Steve in Colorado