Truly,..... you should wait until you are both healthy enough to dive. You could take meds to mask the symptoms, but then you run the risk of the drugs either not working, not working completely or them wearing off before you finish your diving, increasing the risk of having a reverse block &/or barotrauma (injury caused by the pressure changes). To be safe, reschedule your checkout dives to do when you don't have to rely on medication to keep the congestion & swelling down. You might be able to contact a Dr. that is familiar with or specializing in diving medicine, but generally, they'll probably tell you the same thing. Better to be safe than sorry. You can always dive another day. If you injure yourself badly enough, you may close that door permanently.
By the way, welcome to the board!