Morning GROUNDHOG,
Yep, sitting here in my short trousers just brewing the coffee whilst greeting our guests in this little holiday haven and the weather is, just by way of a change, just fine.
All I can suggest is that many years ago Air UK had a Bandit operation EXT/SOU/AMS/SOU/EXT so perhaps NQY/SOU/AMS/SOU/NQY might work, a 15 minute (ish) transit in SOU in each direction for those travelling to/from London and onwards to/from AMS for those connecting internationally.
BUT ... Air UK had a codeshare with KLM and a KLM codeshare would need to be a "must" for such an operation to work and it would need to be a speedier and more comfortable aircraft that a 150kt fixed undercarriage Twotter!
A Shoreham operation would last about as long as Brighton City Airways, what with restricted runway dimensions, b*gger all navigational aids and p1ss poor public transport connections.
Alas Biggin wouldn't work either, I doubt Biggin would even want to risk upsetting Bromley Council and/or ending up in court for clearly bucking the system.