I jack the front up, put the Atlas in front dig mode, turn on the locker, then put it in 2nd gear and start the ignition (I've pulled the fuse on the clutch relay so I can start it in gear without depressing the clutch). While the front wheels spin I pressure wash off the bulk of the mud. Then while the front wheels are still spinning (my second gear is +/- stock gearing 1st gear so not spinning fast) I use a pump sprayer filled with purple power to soak the tires. Being very careful not to get it on the wheels. Then I rinse with the pressure washer. Since the treps have SO many edges you have to rinse in 3 directions or you'll end up missing a lot.
Then I cut the ignition and remove the wheels and lay them down on their backs and use chemical guys wheel cleaner on the wheels themselves.
Then I use the pump sprayer with purple power and spray the wheel wells, axles, undercarriage...etc and let that soak for a bit. Then pressure wash that till it's clean. Slap the front wheels back on and move to the back to repeat the process.
It's a lot of effort, but my OCD won't let me NOT do it. I wish I COULD just rinse off the big stuff and go back out, but I wouldn't be able to sleep at night.
Trust me...I don't enjoy being this compulsive