mymgb,
I'm the John E. that Clifton referenced. I have a Zenith carb, and I've experienced the flooding you describe. Before I start spouting out solutions, could you tell me when is it flooding i.e. when you come to a stop light? When you're running? After you've stopped?
Also, do you have the mixture adjustment tool yet?
I hope I can help. My Zenith runs fine now without continuous adjustment. A lot of people will tell you to get another carb, but you'll have to have a new manifold and maybe some exaust modification, which can get expensive. You can probably sort out your problems in the short term fairly inexpensively, if you want to save some money, and then change it out later if you're still not satisfied.
I'll be glad to help if you want to take a run at it.
John