What I have done when in similar situations in my FWD MH is to stop when I see a really steep hill and move weight forward to the cab from the habitation area, if that's possible. We have 2 extra water containers, a
battery booster pack and tool box that are all easy to move, That has always mainly worked for us, apart from stupid drivers coming down hill forcing us to pull over into the mud then having to reverse like you did. In the future I might try wider tyres on the front of the camper as I have a spare set of wheel and tyre. Steepest angle has so far been 16% in this MH no problem at all in the dry, some loss in the wet.
I have some traction issues with my FWD car, I fitted the next size up wider tyres on that, that has cured the issue on the car. I also have standard size winter tyres for the car, have snow chains but never used them, yet. On mine the standard narrower size snow flake tyres seem to bite and grip through the snow better, that's with the softer rubber.
The winter tyres, (snow flake), also grip better in the summer when in the wet, that's over the standard size tyres, the wider tyres that I have for the car are M&S but a harder rubber than the winter tyres. Next winter I will probably run the car on snow flake on the front and M&S on the rear; That's because I have worn some tyres down but also the wider tyres have a higher weight load, handy in my estate car.
Yes, 4WD, RWD, and split drive, electric motor rear and engine at the front would all be better options than what we have at the moment, unfortunately they aren't really feasible to existing FWD MH.
Hope this helps.