Should I/can I request a tonsillectomy (remove tonsils)?

I have huge tonsils too. My dentist says every time I go that he's never seen anyone with larger tonsils than I have. I do get strep almost every year now, when I was little I had it multiple times a year. I also have a sensitive gag reflex, occasional light snoring, and very often a feeling of something in my throat that makes me want to cough. Now I'm 28, and my primary care physician said I could choose to have my tonsils taken out and he would order it, but that being an adult my recovery time would be 2-3 months. I chose not to have them removed because of the long recovery time. I think you could probably find a doctor who would order it if you chose to do so. When I was a child the trend was not removing tonsils and I think that's changing back to removing a child's tonsils if they are prone to strep and tonsillitis.