Spoonflames I've just gone 35 I passed in April, have 3 points, garage the bike and do 3000 miles a year I also live in the badlands of Cambridgeshire, Swinton insurance policy is £238 fully comp including legal cover. I think they also take car driving into account and I've been driving for 19 years with one non fault accident and full no claims which might have a bearing on the insurance, Try the MCN website that's how I found the Swinton policy, doesn't matter what price is online I recommend ringing them so you can tell them about the datatag and the Y.I.S.S and fill in the gaps as well as tell them they are too expensive! the comparison websites don't give the full info to the insurer as cosmike points out, you could also try Aviva and CiS too as they don't use comparison websites.
I hate using brokers I think they are slow and I've only ever had painful experiences with them, including incorrect paperwork, they even asked me for proof when I told one they were too expensive, called my bluff that time (I did find cheaper in the end!), bigger insurers don't seem to bother! Good luck!