Hi Lifts are the clumsiest thing to stow. They're so big & heavy, and they look nasty no matter where you put them.
Last year I drew up some CAD plans for a new prototype THORparts rear bumper. One end of bumper hinged open, and revealed a long, skinny storage compartment inside it. It was big enough to slide your jack in there, and shut the door. I had to get rid of the spare tire step well to do it but, the storage chamber was fully enclosed, and it would keep your jack out of the weather. This same rear bumper also had a winch integrated into it. It required a new spare tire bracket that mounted the spare higher on the door, so you didn't need the step well. The bad thing was...the factory rear tow bar had to go, and I wanted to keep that in place, so I never pursued it. Anyway...throwin it out there. Seemed like a nice idea to me if you had the gumption to get it all figured out.