You're completely safe in a mesh suit, it forms a Faraday cage.
Some museum in Boston has a huge tesla coil show, that was fairly neat.
Erm, maybe you're safe, there are about a thousand potential points of contact with the outer surface that can put you into the flow path. I sure wouldn't want to risk a link out of place redirecting some electrons into my testes.
The Boston Museum of Science has the world's largest Van De Graaf generator. The show they run with it is incredible. I've probably seen it 50 times and still love it every time. They run several different shows a day with that generator. It's like 5 stories high.