77's have two carb styles, PD for the K and the early model Keihin for the F. Are you using stock fuel line routing?
Sometimes you have to give information to get information.
If the overflow is draining, even with the fuel tap shut off, check the stand pipe in the bowl for cracks. If no crack you have two or three problems.
1 - The fuel valve is not shutting off completely and needs a new seal.
2 - If PD carb type the drain valve is not sealing.
3 - The float valve is not closing completely.
The float valve may not be sealing for a number of reasons.
a- there is debris blocking closure
b- The float is set too high.
c- there is a float pivot issue keeping the float from applying pressure to the float valve.
d- there is a float seat or needle seal issue.
That's what I'd look at.
Cheers,