My driveway is really steep coming off the street - pretty much what you have there. The UPS guy can't/won't come up it (it's also 500 feet long so he hates me because he has to walk my packages up). The TruGreen guy tried once and failed miserably - cut up the street pretty good with the back of his truck.
Anyway, as fate would have it my old Allegro has an ancient Jet Ride air bag system in the rear. I'm sure there's a modern equivalent but it replaces the stock suspension with truck/bus-like air bags and some helper leaf springs. I have a big range of adjustment. It's a 30-footer with a ridiculous overhang. I can get it high enough to clear my driveway when exiting but so far have had mixed results returning - it always seems to scrape a little on the left side of the bumper. Not enough to hurt anything though.
The big difference is that once I clear the approach I can park it on a level surface at the top of my driveway. In your case I'd make sure your parking brake works and you chock the wheels. Ideally you'd want to level it and run the fridge about 24 hours before your trip, but not being able to isn't the end of the world.
Here's a clip of the range of travel on the Jet Ride system. I go from max height to the "Auto" setting which brings it down to level. It's before I restored the rig so don't judge...
https://youtu.be/A-mAQq6vAzEHere's a pic of it at the top of my driveway when I first bought the house. You can see how steep it is right up to the house where it levels off. I had 110 PSI in the bags - it didn't scrape coming up that time.
