Not a good idea @Taylorslay I have written a post on running and tinnitus. Many people have contacted me that run for fitness. They find impact underfoot travels up through the body and spikes the tinnitus and can make it permanently worse. Please be careful. Not everyone is affected but some are.
T and H are completely different. I'm thinking about looking for something more low impact. An elliptical or bike. I was wondering why this bothered me and not my bike. Now I know it's likely the impact.