Just a thought but it may be a good idea to try and shovel around and under the truck to break up the mud a bit, kind of make it into a more liquid soup, could help break suction and make a passage for backing it out when winching / pulling.
Long sturdy timber would be good to try and level it also while pulling, keep it from flopping.
Weekend is coming up, I would bring a couple of changes of clothes, you'll get it out, one step at a time with patience.
Chalk it up to experience Tyler!
Take care, stay cool
Hugh

'86 SR-5 Extra-cab 4 x 4, 2" BL, 33 x 12.5 x 15R M/T on 15 x 8 rockcrawlers ( 3 3/4" BS ), 22RE 5 sp , 4.88's Detroit True-Trac front, V6 open rear, 24 mm Sway-Away + Rancho 5000's, removed sway bar, no-rust south US bed, Ramsey 8000 winch