If the meter isn't real deep you might be able to loosen the discharge union at the meter to relieve the pressure enough to make a decent solvent weld connection. Stick a piece of white bread or a balloon in the pipe to keep the water from dribbling out (if needed).
What sprinkus said..
I would have my guys pull the meter out and make my repair. Then, Put the meter back in the yoke/union and also call the water dept to come
REPLACE the curb stop since it wont shut off. They should have no issues doing it.