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on the top menu bar - "Go Paddling", drop down menu has Places to Paddle, and Water Trails, and other stuff. did you look there?
a bit of a problem is the "5 to 9 days" - you pretty much have to go to some place like adirondacks or BWCA for a longish 9 day trip, though there are other possibilities - The Allagash in Maine is one - add the St John if the water is high enough.
most of the western river trips tend to be 2 or 3 day trips and many have quotas, so by permit via lottery only; several river trips in Nebraska, but not for a 9 day trip - there's always the Missouri; Smith River in Montana (another permitted/lottery)?
kind of silly to recommend a "new" place for you to go when no one knows where you have already gone, aint it?
Admittedly not as spectacular vistas as some of the above, but this central Pennsylvania Water Trail is a splendidly scenic 228 mile float with mixed wilderness (including deep canyons and a few stretches of class 1 and 2), rural and semi urban sections. Perhaps a bit safer for a solo paddler than some of the more remote choices. The Lumber Heritage association publishes a terrific Water Trail guide with every detail you could possibly imagine as far as access, campsites and other amenities, on durable waterproof stock.
Many of us who live and paddle along sections of it are hoping the West Branch can earn National Wild and Scenic River status (which might help protect it from the ravages of the gas mining industry along its corridor).
Get in touch with me if you ever decide to do this one -- we live right on the river and could provide you with a secluded campsite a few miles downstream from the Shawville dam put-in (map section 4).
In looking for some photo sites to link for you, I discovered that the National Geographic ranked the West Branch Water Trail as one of their "Best Wilderness Destinations for 2012".
Might mention also that it has reliable moderate flow, little or no commercial or power boat traffic, and goes through many small towns where you could easily pull out at riverside parks and get a hot meal or re-provision your supplies.
Here's a good shot of the typical winding course of the river, through some of the oldest mountains on the continent, if not the world.