My cat uses Sparcraft S830 mast section for crossbeams. I purchased a full mast back about 2017 before freight went nuts. I had to get the mast cut down into four sections versus shipping it at something around 54 feet long or so. Freight was $500 then. Might be double or worse today.
The notion of finding a boat scrapyard sounds good on paper, but scrapped masts usually end up melted rather quickly I've found. However, a phone call or two might be wise.
The biggest issue with plywood is it can rot; so I recommend a glass wrap. Almost all the unwrapped plywood we see on the plywood boat forum I belong to ends up checking, splitting, and rotting; especially when the plies face up. Wish I could offer you more, but some combination of ply and carbon might be best. That way, the ply is the former and the carbon seals the ply from rot and then lightens the overall.
You can also model the thing and get pretty close to accurate. I modeled the roof structure on my cat. Basically, build a scale model and do some testing to determine E, etc. Might be hard to do on the vertical, though, so a NA might be best.