Just for anyone else contemplating a Gatwick visit, but not wishing to splash out quite as much, then I would recommend either Vallance Byways or Dovers Green. I flew into both earlier this year. Peter Vallance's strip running parallel to to 08R threshold lets you fly directly over the Gatwick apron and the best bit of all, he refused to accept a landing fee from me, gave me a tour of his museum and also a free lift to my CAA medical reval.
I would say that the Museum strip does require some strip experience to do safely, but just up the road at Dovers Green (also PPR from Peter) a PA28 type should have no problem.
If you want to see some pics to get an idea, then I put a trip report here:
http://forums.flyer.co.uk/viewtopic.php?p=445043
Well done to Contacttower for doing what floats his boat, but as already mentioned by other posters, you may well be better off nipping across to Europe to get a similar experience. We recently dropped into Hamburg on the way home in our SEP to give our group member a taste of the "Big Time" and he had a similar seminal pleasure, but for only 56 euros total.
Cheers
FF