To get any comments and information that might actually be pertinant to you and your group - you might want to post some details on how many are in the group and what the start and end points might be - at least a hint. The time of year might help too.

In my experience there aren`t enough campgrounds in the USA that are consistantly within a days driving distance by bike to make it feisable to plan a transcontinental trip with the intention of camping legaly most of the time. And I personally don`t support `stealth camping`. Its a politically correct term for `illegal trespassing` or `squatting`.

If your trip is during the summer I`d personally skip the stove and make do with fresh fruits and salads, energy bars and buffets when I can find them. Every time you hit a small town or camp ground you`l usually trip across a laundrymat and supermarket and a few restaurants. A water filter would be more of a priority than a stove. Transporting and storing anything except dry goods for more than an hour in the hot sun is a health hazard and one that can ruin your vacation.