I saw a movie recently, and I was amazed at the lead, because he seemed perfect for Jean-Claude.
He's good with accents, so that could work, and all he'd need would be hair dye and blue contacts.
The movie was
Stage Beauty, and the actor was Billy Crudup. I'll try and find a picture of him, but before you judge based on other films, watch this one!
In the film, he plays a male actor that acts women, the last and best of his kind. When I first saw him, I found that he had a very Stuart Townsend look, but as I kept watching I was amazed by his performance. I really think he could do Jean-Claude, and I think the movie was very well done.

he's in the bottom left

he's the guy in the top right

and finally, he's the guy on the right