Fuel can't get out of the carburetor via the fuel lines on a Q-jet.. If the carb is indeed, dry the next day after being driven, the fuel is probably leaking past the metering well plugs on the bottom of the carburetor main body.. Some rebuilders just stuff a gasket like "filler plug" in the cavity and call it good.. As a matter of procedure, I tap the plugs in a little tighter, then tap on the burnished area around the plugs.. As a final step, I cover the plugs with a small amount of gasoline proof epoxy..
A mechanical fuel pump has check valves built-in, no need for "auxiliary" check valves..