I used SolidWorks 2013 to create the model in the image above. I can go into further detail on specifically how I made the curved panels if anyone wants it. The curves are just circular arcs, not true catenary curves.
At the moment, I cannot create flat patterns for panels with complex curves and curved edges. I can, however, create flat patterns for curved panels with straight edges. That's what I'm doing for my project, and I'll hand draw the curves onto the panels.
SolidWorks 2015 has a new feature that allows you to flatten some surfaces, so if I can get my hands on a 2015 license, I might be able to make patterns with the curved edges included. With SW2013, I have to treat the surfaces as sheet metal in order to flatten them, which is somewhat limiting. Unless you're printing full scale patterns though, you'll have to draw your own curves anyway, so the straight-edge patterns are still pretty useful.
Below are the basic dimensions and patterns for my shelter. Note that I was able to flatten the door panel, which is a curved panel but has no curved edges. I added 1/2" to all edges for seams.

That mylar looks like it might be a great material for prototypes, pretty inexpensive too! I was about to pull the trigger on 150' of Tyvek from Home Depot, thankfully I didn't yet. :)
BTW, If any BPL members want models or patterns made, I'd be happy to draw them up. I love playing around like this with SW. I can export files in many formats, just let me know what you want and I'll see what I can do.
EDIT: The image of the patterns is pretty small/unclear…Here's a link to a PDF file:
https://dl.dropboxusercontent.com/u/171498663/solo%20tent%20v2B%20-%20patterns.PDF