"A typical configuration involves mounting a small outboard-style gas engine (often 5–10 HP) to the transom of a jon boat or small aluminum utility boat. Instead of a propeller in water, the engine powers a drive shaft connected to one or more large toothed wheels or screw augers positioned beneath the hull. These teeth dig into the ice, allowing the boat to "crawl" forward much like a snowmobile."
While this doesn't eliminate the hazards of Hovercraft and air boats for you island-folk, encountering open water assures you won't turn over or sink.
Maybe a battery-powered chainsaw would describe the principle of how this works. (?)
'Still going to find that video; but, meanwhile, a handyman built a homemade
"Ice Scooter" out of a battery-powered two-wheeled scooter.
https://www.instructables.com/Electric-Ice-Scooter/
He tows a sled behind him to carry things (like groceries).