How can I get rid of ear congestion that I've had for a month?

I got a bad cold about a month ago and have tried a bunch of different things to get rid of the ear congestion. All my other symptoms are gone, I don’t have a fever, my ears don’t hurt, but I feel kind of dizzy/light-headed, maybe from the fluid in my ears. My doctor recommended trying Mucinex, which helped but didn’t get rid of all of it, and I can’t take any medicine that has sudafed because it makes my heart race.