In my opinion that C* paired with the right setup, should be perfectly fine. But give the Vandoren AL3 a whirl like Carlheanerd said.
For jazz, bright can mean a number of things. Be careful when you say "very bright". You don't want to be overly bright where the tone is annoying. For brighter mouthpieces...I play a Vandoren A55 Jumbo Java that is pretty bright, but controllable. You could think of it as a hard rubber mouthpiece with a metal mouthpiece sound. Beechler metal mouthpieces are pretty bright as well. JodyJazz DV or DV NY I've heard can be bright. As bkobog said, these mouthpieces might not do it for you. You'd have to go out and try a bunch. Don't be afraid to try some hard rubber pieces.
The only issue here is, switching back and forth from a big metal mouthpiece to a smaller classical mouthpiece will difficult due to the sizes of the tip.
Personally, I don't think you can go wrong with the C* or Meyer. Both are good professional level mouthpieces. It's just a matter of finding the right combination of reeds/ligs to the mouthpiece.