Put some fat tires on it. I put 12.5 ags on mine, and my back yard is a friggin' swamp rite now, barely got above the wrap around tread on the sidewall, and, hardly spun a tire.
You would be able to mitigate some of the damage by putting tubes in all your tires and lowering the air pressure in all tires. This would make the tires float over wet ground easier. The reason to put tubes in the tires is because if you lower the tire pressure too low without tubes in them you run the risk of running the tires off the bead. With tubes in the tires you can run much lower air pressure without a high risk of running the bead off the rim.