Well . . . it works the same the other way around!
In a similar situation - wanting to build up her own NCB my wife had a very good introductory offer from Churchill and has had a competitive policy with them for some years now. If she rings round a selection of the more 'reputable' directs and brokers she may well get some decent offers as the market seems to be getting a little softer and more competitive at the moment.
KRs Funforus