I had my new Corolla GLI insured just last month. The problem I was also facing was that all of these major insurance companies were not ready to insure my car without tracker, and I did not want a tracker in my car. I did get a quote from Jubilee for 3.75% premium without tracker but I found it to be too high.
So I went with United Insurance. 3.25% premium without tracker. If you would like, I can put you in touch with the person at United who processed my application.