Several points that call for comment here:
1. Insofar as the forum is concerned, this one should provide you with answers as well as any other. However, you might want to try the Popular Rotorcraft organization, but you might not want to get your hopes up. I was a member for a year, but it was impossible to get into their members site and I never did get any answers. Good luck.
2. I can’t help you insofar as your location in LA. I’m in the Washington, DC area, and there are a couple gyro instructors within a couple of hours of my home. Again, good luck.
3. Your hearing may or may not be a problem - it depends. I’ve worked with a couple of completely deaf students in the distant past, and while it’s difficult, it can be done. It appears that the instructors you’ve tried to contact or work with, don’t want to take the trouble. As for the “it depends,” well, what type of gyro are you interested in? Most are certificated in the light sport category, which only requires a driver’s license to confirm physical ability. If you have a driver’s license, you qualify physically. You also note that you use a hearing aid. I gather that you have some limited hearing ability, if you’re using a hearing aid. That should be sufficient. If you want some inspiration, look up a book titled “Flight of the Gin Fizz,” by Henry Kisor. Kisor is/was totally deaf as i recall (it’s been a few years since i read the book), and he flew a standard category airplane all over the place. The only restriction was that he could not fly into a controlled airport, or use air traffic control. Well, duh. But that leaves a lot of airspace for you. You will no doubt have a similar restriction placed upon your pilot certificate when you pass your check ride. Go for it!