Why not use tow straps in place of rope/cable/chain to winch yourself out? "Horror-Freight" (Harbor Freight) has 10,000lb straps for cheap often and I can shoot you some 25% off coupons. Link them up and have at it.
If that doesn't work and you can't get someone to get in there then you may be SOL and have to wait for it to dry up some. I did the same thing with my M813 around Christmas rescuing three stranded 4x4s who got into it bad. At the end of the day I was the one stuck and it took a night of digging, improvised stick/wood ramps, and a tug from a CUCV to get out. Really all she needed was a little nudge.
http://www.steelsoldiers.com/showthread.php?116227-SS-Friends-are-the-BEST-there-are!&highlight=
If you need to get sooner than that you can put your nose to the grind stone and drain away the standing water, build those wood ramps, and then air down the NDTs to roll out in reverse.
If you can't get her out you shouldn't be afraid of someone else driving off in her.