Well Hard to say. Does it only leak a little bit? Couple thoughts to try.
Park on the center stand and see if it still happens. You run the engine a bit with petcock off but maybe 1:when you lean the bike on the kickstand, the fuel level is high enough to seep around the bowl gasket. On the center, it may not be able to do that.
2:The bowl has a crack. Not likely but maybe a small chance.
3:It might not be leaking from the carb itself so to speak. Maybe it builds up around the manifold rubber(engine side) and drips off.
4:Fuel tubes between 1 and 2 may have cracks or are leaking in some way.
Best I got at work.
The ride IS the adventure. The destination is just to get gas!