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With "native" 13" wheels I don't think that any of the Egg shape FGRV's will fit under a 7' door. However several on the site have changed out the 13" rims for much smaller 8" rims &
tires from tent trailers and were "Barely" able to slip into standard garage openings. Of course these were installed for parking purposes only. You would have to measure a specific unit to see if that would be enough.
As an alternative you might consider either a Hunter Compact or a
Trails West Campster. Both were originally designed to fit in standard garages.; And, just like your Westy, these both have pop-up tops to make the loss of the VW a little easier.