'Leisurely' trackdays?

[Tabs]

Does anybody organise a trackday on a slower basis? My car is not really suited to a 'balls' out day, but I would like to drive it faster than on a public road. Being an auto does not help either. I dont want to get in the way of trackday specialists, just a bit of a blag with like-minded others for an hour or so. If I enjoy this, it may lead to doing trackdays proper.