Define: "poor ground clearance"
Tesla Model 3: 5.2" Tesla Model S: 5-7" (in has a manually adjustable pneumatic suspension) Ford F150: 8-9.5"
You can get bigger wheels for bigger clearances and you can also obviously put snow chains on Teslas as well.
As of September 2023, 11.05% of new vehicle registrations in Colorado were electric. It has a lot of both mountains and snow. It depends on the specific model and how cold, but a Tesla generally speaking can keep the heat on for ~72 hours or so if it is not moving in the cold. I lived in Chicago and survived three polar vortexes (the worst was -22F in front of my house) and my Tesla did just fine.