There is nothing wrong with doing that. I'd do it but it's not really practical on a hybrid. In several of the Michigan campgrounds that we frequent, there aren't any trees big enough to support a clothesline. The big trees were all Ash and have been killed by EAB and many of the pine trees are dying because of a fungus.
2006 23B Hybrid with 10k round bar WDH
2011 F150 4x4 SCREW Ecoboost, Max Tow, Integrated TBC, 3.73 LS axle, Firestone Ride Rite airbags.