I am guessing it would take just $100k for the trip.
You would still have to pay the other bills at home that momma would not let me skimp out on, Another $120k there.
I might be able to do the trip for less if I towed a trailer with all my camp gear, and cooked my own food.
Some places you could base camp for a few days and wheel some pretty cool places.
I think I could spend at least two weeks or more in Utah alone.
It would be fun to try, as it would be the Ultimate Wheeling/Overlanding Adventure of a life time.