I have Track Day Insurance - "A Manning", cost an extra £500-550 over my normal insurance but covers unlimited track days (10% value of car excess) quite a few people who do regular track days use them, they are a performance car insurance specialist.
The first track day I did was without insurance. As I planned to then do quite a few (I think once you have done one you will feel the urge to do more

) then I feel the small increase in insurance is worth it
Bedford is a great learning circuit, very safe