Radar,
Just off the phone with a very friendly lady from airside ops in Southampton. Very different result compared to your inquiry due to the fact that I will not stay overnight: PPR number was given, landing fee will be 32,60 pounds and parking over two hours will be 12,20 pounds. No handling agency required, no additional cost. She took down a note saying that we require fuel, so the bowser will be driving up. She said they basically do not do overnights, that's when handling is required.
Couldn't have been nicer, and the price IMHO is ok. What a difference compared to overnight stays...