Most track days will normally have an instructor present, who will come out for a session with you.
The big issue here is that you are risking your car.
This is why people love the 'supercar experience' days so much - nothing is at risk.
You will have far more fun and it will be far more rewarding taking part in actual motorsport events.
Why not look into going to a local motor club and consider taking part in their events?
http://www.bridgend-automobile-club.com/Also consider going to the dinky little track at Llandow:
http://www.llandow.com/There are loads of events going on out there, they're just badly publicised unless you know where to look.