StayDirtyMyFriends
Adventurer
Plywood may be stiff enough, and installing an RV window in it will also stiffen the plywood so that may work out. Thicker plywood may stand proud of the hardtop - the original glass is about 1/4" thick and I believe when closed it ends up roughly flush with the hardtop or slightly lower, so 3/4" plywood may be raised as much as 1/2" from the surface of the hardtop at that point. That may or may not be objectionable to you.
You could use thinner plywood, even 1/4", if you build a supporting structure inside it. The Safari Cab barn door has an internal structure to make it completely rigid, it's visible in this photo. There's a raised area going all the way around the window (consistent with automotive practice for the last 100 years or so ); this area is wider at the bottom to enclosed the wiper motor. With a structure something like this even 1/4" plywood would be rigid enough and it would integrate nicely with the hardtop as it slopes in.
That was a thought too since I need 1/4" plywood for another fiberglassing project. Building bracing like that would also give me a place to hide wiring for a CHMSL, and a second higher backup cam to use when towing my trailer. I may be able to use the excess from my other project to fab a barn door with. Thanks again for your ideas and suggestions.