If the rivers up you can do it amateurs do it in 16' canoes all the time. It is a pool and drop type stream so you will have riffles where you can scrape bottom.
That said I've done it a few times in a 13' fiberglass touring boat with no problem.
You'll enjoy the trip, do the hike to Hemmed in Hollow, it's worth it.
Full Size Sail Rig
YakCatcher Rod Holder
Paddler's Truck Rack