Trouble breathing - Allergic Rhinitis.

Have seen multiple doctors but have seen not much relief. Some say I have allergic rhinitis, some say I have asthma and some say its bronchitis. I moved to the US from India 2 years back and since then I have been facing difficulty in breathing. It started with a cold and congestion (at least that's what I think) and it only got worse with time. Doctors have checked the internals of my nose and mouth and say that the nose is heavily inflamed with the air passage being very small. Sometimes it gets uncomfortable to breathe and then I have to open my mouth and take a deep breath. My tonsils are of grade 3+ just a little smaller than kissing tonsils. I also face trouble during sleeping and snore and drool a lot. I am not sure what to do.