Interested in your itinerary suggestions: London & ?
Oh, I don't know, I'm rather fond of Dear Old Norwich. And our own little Lourdes at Walsingham. And Lynn is perhaps the most interesting beaten-up, seedy port town in England...
If a group of you really want to get away from it all to something incredibly British, you can always hire a canal boat (self, err, drive? till?) for a few days. I did so recently on the Llangollen Canal, and can't recommend it highly enough.