To test for clogged exhaust, I have removed the exhaust pipe/muffler and then ridden 2 strokes to see if the removal cures the problem. I doubt you'll want to do this. As for the fuel delivery restriction, possibilities include restricted air hole in gas cap, clogging of fuel filter, improperly functioning fuel valve diaphragm and intermittent blockage of internal carb passages. Gas cap problem can be tested by loosening or removing it for a test ride. Fuel filter can be replaced or temporarily eliminated. The fuel valve diaphragm could be bypassed if it is a separate unit (carb vacuum port would need to be capped off to do this.) If the fuel valve diaphragm is part of the tap threaded into the bottom of the fuel tank, this would be problematic. One could somehow just rig up a temporary fuel tank delivering fuel directly to the carb (no diaphragm, no vacuum line, no filter). One thought just came to mind...a deteriorating vacuum line from the fuel valve to the carb (or carb manifold). This would be cheap to replace. Or, see if it's hard/brittle at its' tip, cut off an inch and re-connect. Correcting blocked carb passages is self-explanatory.