Chuck played a lot more shows with his 3x5 guitars, but recorded pretty much all his best stuff with an ES-350T.
I saw that video but wasn't paying much attention to the guitar itself. For the price they're asking, though, you can get a '50s model with PAFs and have ca$h left over. I bought a '58 last year…it's a fab guitar!
Edit: forgot to mention that the bridge on these guitars, if positioned for proper intonation, does sit close to the bridge pickup.
-Dave-