You can get it out with that pickup and a tractor with a long chain to pull you both if needed.
As for doing damage to the camper ????? ... I don't know about that. If it sinks up to the axles and you keep pulling you could easily do some damage. On my TT the break wiring just kinda hangs under there without much protection. On my TT the black and gray holding tanks are exposed underneath too. I sure would not want to damage them. That would total it out. The tank dump valves and port are just a few inches off of the ground too.
If you don't want to damage the TT beyond repair then you may want to take a very careful look at the situation.
