In doing a search it appears that there are companies that do recovery, mostly very large tanks, and it is expensive. I don't know if you want to move it each time you move or exactly what you have in mind but that probably will get very expensive with each evacuation and refill.
Last time I checked on the cost of a 100 lb tank it was around $100. It is probably more costly to try to evacuate and reuse a tank.
The other option, if you are wanting to have a larger tank at various camp location is to rent at that location. Many places have companies that supply the tank and fill it as needed for those that stay longer periods.
https://www.amazon.com/Worthington-...pID=31-Dv2ZDmFL&preST=_SY300_QL70_&dpSrc=srch