those particular carbs are a nightmare for this. First, see if the needle plugs the hole with no float attached, or if it seeps around it. If it does, the needle is shot, or there's debris in the seat.
If it's dry, then the float is warped. There is an adjustable rubber/steel float for that carb body that was on the CM450 nighthawks I think, and they fit and work so much better than that #$%*ty plastic one. After 30 years they sometimes get out of shape and sag, and therefore don't close the valve all the way.