I had the same experience with Headley. I was with them for years with my 4/4, then with no claims or other risk changes the premium was increased by a silly amount. The only change was their new owners! I then changed to PBIS.
I have now changed cars to a S1 Roadster and the quotes from specialist insures ranged from mid £200s to mid £400s. I found the best quote was by Heritage, Good customer service too.