Bigger pieces work better ... less labor joining them ...
The idea of some wood framing is fine with me ... Probably necessary to a point , for like door & window attachments ... I'd try to find a light . strong but rot resistant wood ... like the cypress we have around here...
Canvas, like oil painting is too expensive to cover a TD ...

I was thinking more a conventional (cheaper) canvas or fabric , like the stuff they make awnings from around here ... Which BTW I've bought and oil painted on ...

Check fabric stores or if you have an awning company ,that works too ... I seriously recommend reinforcing all seams with extra fabric... the strength of the shell is in the covering ... so the better you can tie it all together , the stronger it is ... reinforcement around the bottom , where it meets the floor frame is especially important , since the only thing holding the floor to the sides is glue ... So inside and out fabric strips over the covering and onto the floor would be judicious... and advised ...
You'll notice I used a foam Arch across the roof , a trick I used on my 6X12 TD (plywood there) ... It really gives some strength to that area, and a foam one say 4" thick , when covered should be really strong ... Likewise a foam shelf , covered with thin ply, then covered should be adequate for most shelf items ... Perhaps a central brace/divider for support of heavier things ... Just more ideas ...