Some insurers ignore the first 3 points if it's a speeding rap... Worth looking around. Check out the websites, they'll usually specify that in the criminal record bit.
But don't "forget" the points, it actually won't affect your insurance in your case- misdeclaration can't invalidate third party cover- but it will get you done for fraud and sued for hte cost of any payout. Not cheap
Just about to reinsure mine, I'll see how I get on. Need to find someone who'll cover all the mods as well...