The overwhelming part is that there is no single correct answer - there are many.
Flying in does complicate things, though if you plan things out you could either a) ship materials in/out (hotels can often help with that), or recycle the oversized materials you can't affordably take home with you (pvc pipes, conduit, insulation panels for yurts, etc). There are a few places that can accommodate that in Reno (the regional Save Mart grocery chain springs to mind, but more will be posted in a local resource guide in the weeks before the event).
While I'm partial to EMT conduit frame structures myself (I like the modular design and great coverage for larger areas), they're not ideal for traveling great distance or smaller use. I'd recommend taking a look at either a hexayurt or monkey hut (and narrowing your thread-browsing to just those types of structures). Figure out your design and materials needs, and then pick up the bulky items in Reno once you arrive and you can hit the ground running. If you're a bit more adventurous and good with ropes, do some digging for tensegrity
structures. They use a minimal number of vertical beams (easy-to-purchase lumber you can get at any lumber yard/big box hardware store) and then rope to create the framework that you'd secure tarp or shade cloth to.
Don't get me wrong, domes are fun - but they're also expensive, bulky, and can be fairly complicated. I'd suggest bringing something a little easier to manage this year, and once you've got your camp set up go find someone who's still working on getting their dome set up and offer to lend a hand. That'll give you the chance to ask questions, gain some experience, and see for yourself if that's something you want to get into at some point down the road.
Take a look at the options, and see what you think might be fun to try. Good luck with whatever you decide!