Any carpet or padding that is left in the Jeep will hold water for a long time, so get out as much of the soaked stuff as you can. You'll probably want to hose out the mud, anyway. If it were mine, I'd put it on jack stands so that only one wheel is left on the ground, probably the right/front. That is to get the remaining water all flowing to one point so that you can more easily vacuum or mop it out. Set up multiple fans inside and maybe a small propane heater to warm the air, because warm air holds/carries more moisture than cold air. Another possibility is to use a small fan-forced electric heater, but that will burn a lot of kwh. Or a fan forced construction heater that runs on kerosene, diesel or propane (construction guys call them salamanders). Home Depot has them fairly cheaply and you can often find them on CraigsList at this time of year. If electronics or connectors took on water, try shooting them with a little WD-40, as you would with a wet distributor cap (remember distributors?). The WD stands for "water displacement," and it actually works. And judicious use of compressed air can help a lot.