Hi, John.
Welcome to the forum, if that's the appropriate thing to say! From what I've heard, the House Clinic in LA is the defacto best there is. With your size of tumor, radiation therapy is also a consideration. I can't really say what is best - radiation vs. surgery. They each have their good and bad points. Radiation is less invasive, in that you don't have to undergo surgery. And, there are a lot of people who have gone through the 'gamma knife' and had great results. It's up to you and your doctors, but remember to keep all of your options open. As you will hear from many people, do lots of research, study everything you can, talk to people and get a couple of opinions. The most informed decision is the right decision. At 7mm you have lots of time, although I'm sure you want something done right away!
There are different types of surgery that have varying degrees of success saving your hearing. Also consider your facial nerve - it's important that they consider that as well, so that you don't have facial paralysis after the treatment. Each person seems to have different problems and successes after surgery, and the skill of the surgeon seems to make a big difference. For those who have been through treatment (I haven't, I will get my diagnosis either AN or not AN on Monday), they can offer a great deal more information for you.
Whatever procedure you choose, all the best to you! Read lots, ask lots of questions, surf until your eyes fall out and then ask more questions. Keep in mind that there are a lot more successes out there than you will be able to read about. A lot of people who have great treatment and quick recoveries just want to forget about it and get on with their lives. These people don't make it to forums like this. Unfortunately, their input would be really great for everyone just going through the procedure(s). However, just remember that statistics say 2,500 - 3,000 people in the US are diagnosed each year. You'll only find a small fraction of this number on various boards and forums. That must mean there are a heck of a lot of people out there who have made a complete recovery and are living a wonderful life post-treatment!
John