When I first read your question, it occurred to me that I'm sure I wouldn't be driving if I lived in LA. Heck, I hate driving Chicago. I had surgery on June 12, and started driving (all of 5 blocks to Walgreens) last Sunday. I tackled the interstate on Wednesday. The only issues I have are turning my head, due to both the Wonky Head feeling and the pulling of the hundreds (OK, maybe not quite that many) of staples in my head. My advice is to take it slow - drive like a granny if you have to (and if you can in LA). I am. Take someone in the car with you so that if it gets to be too much, you can switch. Is there somewhere you can drive slowly, like a parkway?
Part of what you need to fix is getting your eyes to work together to get a signal to your brain to replace what you've lost. I believe that most of you know that I have a disabled daughter - I've done a lot of vestibular work (among other things) with her over the past 7 years. I can recommend a group if you are interested that may be able to help you with vestibular activities. They primarily work with children, but also work with adults with brain injuries. PM me if you are interested. The reason that I use this program with Anna is that it addresses neurological issues, not just things traditionally done in therapy.
Best wishes, David,
Tammy