Admiral have been brilliant with me.
You just need to fiddle with things, but also keep it legal at the same time.
For example, don't put down that you are only going to drive 2,000 miles in a year when you know you will go over that.
Also, Fully Comp insurance seems to be on a par, if not cheaper than TPF&T these days, and if you crank up the excess, it gets even cheaper. Granted if you are unlucky enough to have a bump, then you may be in bother with a high excess.
As has been said also, get your mum/dad on the policy as named drivers.
It might be £2k this year, but it's the NCB that you need before it gets even remotely reasonable.