If you are looking for something more obscure try the sheep falls run. You can run the henry's fork from riverside campground to a little takeout ramp, probably 8 miles of continuous class II+ or III-. I can get better directions if that interests you. If you want to push it further you can blow past the 'danger ahead' signs to sheep falls. sheep falls is really 3 falls. rated class V in some books they are one hit wonders without a real move, just line it up and bash.
more relaxing floats-
warm river: small trib of henry's fork class II if memory serves.
south fork of the snake below the palisades sp? res: about 40 miles of class I blue ribbon fishing.
Maybe: sections of the grey's may be doable. proabably a hoot in duckies @ 700. really close to the alpine stretch first mentioned.
Avoid: fall river class III (super low water) teton river class IV (low water, wicked takeout),
Overall victor/Driggs has lots to do, great biking, climbing, hiking and other mountain sports. The decent whitewater is probably 90 minutes away. I'd head to grand targhee and do some biking. Unless you are in to fishing, then you should get on the flatwater sections. It depends on how dedicated you are to riversports.