Last time I went mudding, it was in my firebird on aggressive rain tread tires... the kind that don't work at all on ice, snow, or in mud. It looked like a quick trip across some grass to a radio control flying site but before I could stop I was in up to 8 inches of water and very very slick mud. Nothing I could do but feather the throttle and keep going. The 2 ft trench slowed me down a bit but the mud was so slick I just sort of slithered my way in and out of the trench without doing much more than bottoming out the right front shock and scooping some mud into the brake vent ducting in the air dam. There was no way I was going to stop, and every foot I went the condition got worse. Even on reasonably good all-season tires it would have been a dumb thing to do, but on those rain tires I had no choice but to literally go as fast as I could and hope I didn't get stuck in a mud-filled trench.
By the time I got to an area that had some gravel spread around about 1/4 mile from the only real road, my entire car was coated with mud. From the fog lights over the t-tops back to the underside of the spoiler, every square inch was coated in mud.
The really fun part was the return trip... The only "alternate" route was through a freshly plowed field. Knowing what was coming, I managed another 3 mph over the route. That felt a bit like driving one of those mud-skimmer racers, except for the trip in and out of that big trench which felt exactly like driving a firebird through a 2 ft trench full of mud and water.