I have used 3M Super Weatherstrip Adhesive (yellow) with great results for the outer seam and frames. Pliobond will likely melt your fabrics so test a piece first, it is also very flammable.
For the ribs I have used auto headliner spray adhesive from:
Heads Up Industries
1009 N.W. 132nd Ave.
Ft. Lauderdale, Fl. 33323
They should be able to find a dealer in your area. They also make a 'No odor' version, both are flammable. Both work well.
Spray disc adhesive stays tacky almost forever. Photo mount is not strong enough. Never used 357. White glue or PVA might work but you have synthetic fabrics so I don't think so.
Any of the sprays are very flammable, so do be careful. Gloves are not too useful, something else to stick together. Are you mounting the ribs 1-by-1 or as a block?
Good luck with it.