Why did your doc say it wasn't strep? Just because you don't have a fever? Did he take a throat culture? Make sure to do that.
What about other symptoms? Having a bug last for 7 - 10 days is pretty common. Just let it run its course, be patient. But if you still have a problem after 2 weeks, pester your doctor until he rules out strep, mono, or severe allergies, etc.
I hope you feel better soon,