Hello fellow Floridian,
we've driven to your side of the state many times over the years for lunches and car shows.
Also attended the Venice Florida Corvette Club's show several times and enjoy the cruise across the Alley.
Great question you've posed.
I know that with earlier generation corvettes, there were varying opinions about opening or closing doors when jacking the car up. These were concerns because of the cars flexing. I would think (with the old cars) that keeping doors and hood closed when jacking up would create more torsional strength.
Technology and car building have come a long way since then. I am not a tech, mechanic or anything like that, but when I've lifted my C7, I leave the top on. By the way, I had always used a low profile jack and stands to lift and work on my cars, but last year I got a QuickJack. It is wonderful.
Think about C7 convertibles. They have a rag top. How much does that help?
Again, no expert here and this is only my opinion, but I would think it would be fine.
If in doubt, give your dealer a call.
Best of luck and stay healthy!!