I just made my first backpack (myogtutorials.com 60L framed). The instructions call for a solid sheet of 4mm corrugated plastic, which I tried and found absolutely horrible.
I hate backpacks that are very stiff. I want a decent amount of flexing/rotation between the sides so it doesn’t feel like I have a board strapped to my back.
I have 10m+ of ~5mm fiberglass rods from an old poptent I salvaged for parts. I thought it would be perfect, and spent days trying to make it work. Stiffness and flexibility was pretty good, but I couldn’t stop it from wanting to rotate on itself.
I returned to the corrugated plastic, using two strips instead of a solid sheet. A horizontal piece of fiberglass rod at the top and bottom gives it structure. Unfortunately the corrugated plastic isn’t sufficiently stiff, but simply taping fibre glass rods on made a surprisingly massive difference. The plastic limits sideways flexing, the rods provide stiffness. Since the structure isn’t tensioned, it allows rotation, without wanting to rotate on itself.
Adding a sheet of eva foam in the center provides sufficient protection from the backpack contents poking into my back.


Now I’m not suggesting my ugly hack is the answer, especially since it won’t fit in a packraft tube (and I’ve yet to test its longevity).
However, the experience makes me think an answer to the original question might not be using stronger aluminum bars, but combining them with a different material for a composite structure. I would have thought that properly joining the different parts was going to be hard, but at least my experience tells me that a bit of duct tape works quite well.
Tl,dr: Try duct taping something stiff (carbon fiber arrow shaft? Fiber glass rod? Thin aluminum tube?) to the bars that you have.