When I come across a good briggs motor with a clapped out carby I usually use one of the following options.

1. grab a good carby off a wreck out the back.

2. Pull the carby apart, clean it in a bath of petrol, scrub it thoroughly with a toothbrush, reassemble with a new diaphragm (wat it sometimes they try to fold over when you are tightening them down.

Another thing that can cause the motor to act up like you describe is a bit of dust and dirt can get into the governor flap that sits in front of the flywheel where it pivots and it holds the throttle shut.