With only being able to do 5 nights the options are limited.
No where near enough miles for award travel (only have around 28,000 and these days that gets you nothing - only get my miles through flying and don't do that enough to really rack up the miles)
A friend mentioned it may be less expensive to fly to the UK and then get a local flight from there to one of the destinations, however, having never spent time in Europe I am not sure if this would be a good alternative? My only Europe experience was Paris for 5 nights in 2001.