Re: Stuck! Even in Neutral it wont Roll!
I think this is going to be a case of inspecting and cleaning everything under your truck.
Both differentials and the transmission have vent tubes (transfer case may have one as well) I'd suggest draining everything and re-filling with fresh fluids.
Also, I suppose it's possible that your drum brakes are full of mud as well.
2003 Edge 4x4 Sonic Blue 4.0 SOHC, Auto, 4.10 LSD, 4-door Supercab