Michael:
I think if it comes out the back its a double wall. If it comes out the top, then I think single wall is ok, but you have to have something like a 3' vertical rise before adding an elbow and moving through the wall.
Much info at
http://supervent.com/sitecore/content/global-configuration/selkirk/products/chimney/supervent-usa
And huh, at least in that line 6" is as small as it gets. You need to go to the "Direct-Temp" line to get 4", and that comes with the bonus of providing a source of fresh air to the stove (if your stove is equipped for it).
As to the tiny house and mobility question ... this is really a personal preference. How often is this going to be moved? the number of straps can always be increased so secure it, and I think its not super hard to disassemble the pipes either - but yeah, I wouldn't want to do it more than 2x a year. Its just a matter of starting at the top and working your way down - you might have two to four screws every 3-4 feet connecting the sections. The insulated pipe is just twistlock so its really easy to take apart. I'm more worried about it being mounted on a sidewall and becoming too wide (and smacking something) than I'm worried about the wind.
Note that insulated pipe is fine. If you go with single wall, then you would need to have an non-flammable surface on the wall (this goes for interior and exterior).