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If you have the right base you could put the wheels on the ground?
Perhaps, for weatherproofing, you should build it as a pocket door.
Try both. Use a narrow tarp down the center of the roof and put the shade netting over the whole thing. Get protection from rain and less wind drag than a full tarp. The netting will also stop the tarp from barking in the wind. :-)
Instant Thumb Piano: How to make a set screw lamellaphone