I've been doing something similar with my tractor and a home made cable. I'm removing Honeysuckle that has gotten way out of hand. I wrap the cable a couple of times around the base of the shrub, gives it more grip when I pull on it. I then hook the cable to the draw bar and start pulling with the tractor. Ya I know the safety police will comment, but I keep the draw bar as low and it will go. Honeysuckle has surface root and are pretty easy.
The challenge you're going to have is you're working next to a house, which makes using the FEL a bit more tricky. Personally I'd bring the backhoe if it isn't much more difficult to load.
As far as hauling them off, if you pay by the pound to dump em I'd let em sit a couple of weeks. Better yet come back with a
chipper and turn em into mulch. You get a certain satisfaction as you toss some of the more difficult ones into the
chipper. Well at least I do.
Wedge