Loss of Licence premiums are cheap when you don't need the cover, and outrageously expensive as you slip into the more risky period of your career.
My advice is to shop around, and then open a nice little savings (or pension) account and bank a monthly amount equivalent to the median quote. Keep your fingers crossed for a while and then, before too long, you'll be better off. (AND the money's all yours. AND you'll never have to worry about fighting the underwriting b*****ds to get your cash!).
Keep well.
BM