If you can design a car that is short enough to fit inside the diameter of truck tire, it will also fit under a mobile home. A carefully designed platform bed just over the parked car could add another ten inches of space.
Since many mobile home owners have one more car than they have spaces to park,
being able to slide a car under the home would be welcome.
Since the driver is unlikely to be able to leave the car easily once it is parked, a mechanism to insert and eject the car is likely required.
Such a car would likely be some sort of convertible where all windows and roof retract.
Half a dozen of these cars in a mobile home park would free up enough space to make all squeezing, shifting, and towing now done a thing of the past.
( And of course you can always install the mobile home at such a height that any normal car can drive under, but the steps get taller and falling off the porch leaves you more seriously injured. )