Moreton is beautiful, definitely add it to your itinerary, just be prepated for $$$ barge fees.
No worries at all wuth a camper, just the usual with tyre pressures etc.
Ive only towed on the western beach, Cowan Cowan cutting can be a bit soft as well as Cowen to Bulwar high tide bypass track, but you shouldn't have any dramas.
Trev