Nice method Justin, great description.
I have handled Veileds for awhile and have never worn gloves. I have really only experienced one hard bite, it was right around the knuckle from the late Captain Mo and I wasn't even trying to handle him...He charged me with a lunging chomp as I was taking his mate out of the cage. It did draw blood... And it did hurt like hell.
My "no glove" method is a lot like handling a bird. To slowly come up under their front legs with your hand without being nervous about the bite. You are in perfect range at point, But I find if I stay calm and just find a steady way to get your finger under the front of their body they will grip it with their front arms and calm down, making it easy to use your other hand to coax them onto your hand, and slowly move them out and onto an awaiting plant. I think the trick to doing this without getting the crap bitten out of you is to be slow, calm, and confident...Keep those vibes and your less likely to stress the Cham. Then again some Chams just won't have it.