I'd be concerned with covering the car as well, although I understand your reasons. I've noticed that the top of my hood stays pretty hot for a while after turning the car off. Also, be prepared for the tarp leaving marks on the finish of the car. Not likely to do any real damage, but might not look so good where you pull the tarp on and off.
2012 BMW 550 M-Sport
2012 Acura TL SH-AWD---Wife's car
2013 BMW 1600 GT---2011 Kawasaki Ninja 1000---2012 Ducati Panigale