My father lives in France (southwest, not too far from Bordeaux), and the last two years, when visiting him, I've been using a bike I bought there and left with him to take a weeklong tour. This has been reasonably light credit-card touring, just rear Ortlieb panniers pretty much;
For those of you who have done both touring in Europe and touring in the US,
I have quite a bit of European touring. Rome to Brussels. Southern Portugal and SW Spain. Shorter, smaller areas in the USA.
Overnight costs. Europe is 1/4 or 1/3 the cost of USA. The US is unbelievably expensive for housing. Campsites in the US are as expensive or more expensive as motels/pensiones/hostels in Europe. You get a private room with a bed and small breakfast and maybe shared bathroom in Europe for the same price you pay for a campsite at a park in the USA. Adventure Cycling seems to promote camping. It lists all the campsites on its maps. The people on this forum all seem to camp and cook their food when biking. I am not sure if that is because USA bikers love camping and cooking or because they would be in the poor house if they tried to motel and restaurant in the USA.
Restaurants are cheaper in Europe too. Convenience stores are bigger and more plentiful in USA. Slim pickings for convenience stores in Europe. But there are lots of grocery stores, every town has one. Much less traffic, less traveled roads in Europe.
I'd advise you to fly back to Europe and tour again there. Skip the US.