Hi Feppe,
Frames are in common use in the motion business. I´d suggest to make a size of 6x6 or 8x8ft, as this is a standard frame size and you could always rent fabrics you don´t own. We use Avenger frames (e.g. H2008 or H2508) which fold up very easy and are extremely firm, but you may find them a bit pricey and to heavy to fly with them.
There are plenty of different fabrics, some of them will be difficult to get in a standard fabric store. Take a look at: Quarter stop, china silk, quarter grid, full stop for diffusion and silver/white for reflection, you can also use them in combination, may be you rent a set first and work with the different types to get an idea what to look for. I don´t think these butterfly textiles are overpriced, they are very well made, equipped with eyelets, rubber strips and delivered in a bag. If you buy anything elsewhere be careful with cold white colors.
Cheers, Ulf