Yeah - I've watched well-braced 1/2" ply cabinets wiggle too, with a 10" driver. I've got a report of 15s in cabinets made of 1/2" ply moving themselves across a smooth floor....
Shipping 3 sheets of plywood is just not a cost effective idea. Perhaps we could reduce it to side panels only. Even then, we're still shipping a 5X5 of Baltic ripped in half. That might be worth it to some folks.
I'm inclined to go with 3/4" and eliminate the bracing as a test. A driver the size of that 15 hanging off a 1/2" thick baffle sorta bugs me too. I know someone is gonna try to stick an LMS or something in one of these....
Regardless of the shipping costs, the plans will be free.....

Anyone with a circular saw, router and cordless drill can make one. This will not be a hard build. It has less pieces inside it than the Anarchy tapped horn does. Unless you're an expert woodworker, the result probably won't be as pretty as the CNC one, but if you take care when you put it together, the result should sound exactly the same.