I'm fighting a similar (more intermittant) problem with my 1996 Sprint.
To check fuel supply my idea was to run it with the selector on "run" and wait for it to die. Then quickly remove one of the fuel bowl drain screws and see how much gasoline runs out. Assuming the petcock is holding, you should get a good idea of whether or not you have a fuel supply problem.
Full bowl worth of gas pours out...no fuel supply problem.
1/2 a fuel bowl pours out...you've got a problem.
The ugly part is that these carbs don't have drain tubes, so it might be a real challenge to drain it away safely, and not just let it pour on the pipes (a bad idea).
Still working that part out....
Droz