A small drip from the petcock valve I dont thing would be an issue. You cant think of it like and ON/OFF switch, but more like narrowing down a tunnel. It will never be completely closed, but ideally the surface tension of the fluid will prevent a leak. The more gas in the tank, the more pressure against the surface tension of the fluid at the petcock, and the more likely to leak.
How much is a "dribble"? A drop or two every few seconds without the fuel line connected to the carbs I would imagine would be acceptable since you would get a small bit of back pressure due to the distance, constriction and hosing and small vents at the carb.