call me Cáitín
Belly pan on the ground, dig some out and drop those tyres to 10psi... even 6psi which is basically full bag flat, if its driving out, its coming out at those pressures.You are not pushing that anywhere. Dig, dig, dig, dig. etc. Maxtrax and dump most of the air from the tyres. Part of the problem with modern 4wds getting stuck is they run low profile tyres which don't offer much bag when dropped in pressure.
D-Heads on the beach at 38psi and no compressor is facepalm stuff.
Never owned or needed a set of Maxxtrax as they are the ultimate wank factor on display but I'm sure they will do a good job if used in the right circumstances.