printed paper template, or shooting laser from the floor or...
layout on the/a floor, and construct the framing in segments that can be flipped, hoisted and secured on the ceiling. The hardest part is getting the ellipses right. Certainly could paper or Masonite/yucca board template them and transfer to the floor 4x using the same template... Probably what your guy is thinking, I hope. So all you really would need printed is the ellipse, if you have access to an area where you can pull 22' arcs.
Don't know if these boys are still printing; Badger Blue Print (262) 542-8200, they are/where up in Waukesha and Oconomowoc. They could print out 48-60" wide sheets and possibly off roll stock. Roll stock could put the whole nut on 3-4 sheets, however long you needed, for a full size layout. Well if they are still available, they have been printing for over 20 years and are real helpful and easy to deal with. Fear the PDF electronic prints revolution may have effected thier business.