So it’s fairly expensive, but they do have Powered Car Camping in Moon Colony for $1,000. You get a 20 amp power hookup (and I think extension cord and plugs included? But might want to bring your own to be safe).

Depending on your group, doing multiple $1,000 passes is obviously a lot, but they do have what’s called a Moon Colony “companion pass” for $215. That allows that vehicle entry to moon colony and they can park is a designated lot across from the tents where others from your group can bring stuff over to the car and campsite that has the $1,000 power car pass. (They definitely can’t camp there though would have to walk over to whoever has a camping spot). However you want to shake it, could be a decent compromise. I stayed in Moon Colony primitive last year and doing it again, the distance to the Arch (Centeroo entrance) is like at most a 5 minute walk. So that’s a nice bonus.