Oh, now this is positively BRILLIANT! If simple plans for stable, repeatable designs are solidified, then this could easily turn into village industries. The helix is generally more forgiving, but the optimized, patch with additional director(s) is more handy and low profile.
--- Why Not Both ? ---
How about combining these approaches and printing (or laser pre- cutting) the patch outlines on adhesive backed aluminum film (similar to a wide duct tape used in heating/cooling system ducting joints) and know dielectric foam as Syed suggested? This could be a village industry in the making, putting a little jingle in the pockets of small business entrepreneurs on the receiving end The helix, as ki4its and other suggested, is also entirely printable and put together as a roll from the mailing tube - select a shipping tube that is already the correct diameter, and it's already half built !
RadioRay ..._ ._