One could do a trip on the Teton out of Driggs. A guide operating there used to post here with some frequency.

Another choice not mentioned is a float on the S. Fork of the Snake in ID. It would entail a little driving, but not too bad.

There is a lot of stuff in Wyoming that has not been mentioned. When in that area, there are many, many choices, and sometimes the smaller water is more fun because you will see few others on it.