You need to get up to the air handler or coil to see what is going on.
There are two drains on the coil....the primary drains into the condensate pump reservoir. It the primary is clogged, a secondary drain exists just slightly higher on the drain pan. The secondary will drain to somewher which will annoy you....like onto the ceiling.
SO, you might have a drain issue on the pan, or it might be something to do with the pump, the reservoir, or the tubing. Time for an "eyes on" inspection.