Skenn:
I admire you for wanting to push your limits, and I wish you success in your latest endeavor. Since aviation is my background, I would like to suggest that you may have a challenge ahead of you to create a new design that would be more cost effective than existing antennas.
You mention that you have built aircraft previously, and to my knowledge the 1090Mhz/1030Mhz frequency pairing exists only for aviation transponders, so I am leaping to the conclusion that your intended application is aviation.
I have tested designs, including antennae, in the DO-160C/D environment in the past, and the investment in designing to pass DO-160 testing is huge, as is the investment to accomplish the testing. Unless you have easy (and cheap) access to a qualified testing laboratory, what you save on creating a new design may be lost (and then some) in proving to the FAA the acceptability of your design.
Sorry if this is TMI as you may already know all this. In any case, if you believe you have a new idea and you have the drive to go for it, go for it! You may invent the next major innovation in aircraft antenna design, and more power to you if you do!