was gonna ask the same question. you'd have to SAS and cut fenders to clear 37's!!!
i hope your running 5.13 gears and your putting a for 9" in that thing, you'll be breakin axles like toothpicks!
BTW, i like your sig:)
Edit: 6" suspension, 3" body... hmm. its gonna be real tight. i have a friend with a sas'd truck and 35's. hes about 15" taller then stock, he rubs. lol
Heres two friends trucks. black is 3" body, back is 4" suspension and front is 3" suspension. and those are 32's that clear well. the SAS truck id dans, hes got 35's and they rub when tucked. hes also a good 8" taller then the lifted truck.
im excited to see them and see if they fit, but 37's is a whole new breed of tire.