These people crossed the country on a tandem without a trailer, camped and cooked:

http://www.crazyguyonabike.com/doc/?...c_id=3686&v=gw

Look at their equipment list. For a short tour, you could do without a lot of the extra parts and tools they brought. As they note, much what they brought went unused.

One idea that comes to mind is AC's Green Mountains Loop. I did it with AC supported in '10. You pass through enough developed areas (including some very "crunchy" ones like Burlington and Middlebury) that finding a wide variety of food shouldn't be a problem. However, you might have to carry food for in camp longer distances since most of the places we camped were not close to food sources. We also went off route two day to find camping. Overall, it's a very pretty route. We stayed at four state parks (one off route) that were very nice. All on lakes. There are several route options to shorten or lengthen the trip.