First time round, we went to Dublin. Was over xmas, so similar weather to November. Cold, but beautiful. We swam in the hotel outdoor pool (heated!), wandered round looking at xmas lights, lots of soppy things like that.
Second time, me and dh got married in secret and just had one night at a very posh London hotel. Loved it, apart from the morning sickness!
Or, how about seeing if there's any properties with the Landmark Trust you fancy? They have some great buildings; castles, watermills etc. Very romantic.