Next time, just try pumping in some extra fuel by working the throttle. The accelerator pumps will shoot fuel in every time the throttles are opened from idle or off-idle.
Sounds like the choke qualifier isn't working, aka vacuum kick. The choke plates should open slightly as soon as the engine is running. The vacuum diaphram should be connected to a manifold vacuum source and the link to the choke as shown.
A rod linkage determines the fast idle screw to cam relationship.