Before you touch the carb, GET THE DISTRIBUTOR RIGHT!!!!
Distributor problems and carb problems have the same symptoms. You'll drive yourself to drink dorking around with the carb and the car will never run right if the distributor is out of wack.
Here is what you should do in order: First, buy a Factory Shop Manual (FSM) for your car and year. All the following steps are described in the FSM. Second, set the dwell correctly in the dizzy. Third, start the car, let it idle up to temp and set the initial timing without any vacuum source to the dizzy. Make sure the vacuum hoses are plugged to do this step. Lastly, connect up the vac hose and verify that the advance works (rev the car with the timing light on and see that the timing mark advances on the pulley). If the timing does not advance find out why.
What you described can be caused by the intial timing being too high. A rough idle can be caused by the dwell is too short, which can lead to stumbling or the engine stalling out.