Go Karting a place reasonably local is canon raceway in Coseley Wolverhampton...been there a few times, but you need numbers to get price down.
http://www.cannonraceway.co.uk/
Best place is in Warrington
http://www.speedkarting.co.uk/ (look at their video...3 levels!)
If people fancy it...we can look into organising it, but it will need (once we have numbers) £10 deposit per person to secure the date and time we want...with the remaining balance per person to be paid on the day.
When we last did it there back a couple of years ago...there was about 40 people and we managed to get it down (its 5 people free if the numbers are over 30), so we just deducted the total cost of the 5 freebies from the total and split the total so everyone paid the same amount (why should 1 person have the free drive over someone else?) It is good, but will need some organising if it was to go ahead.