Don Valley is fine for a beginners club but not much else tbh. Worksops Winter series is one of the best in the country so it would be worth you popping along to that to have a look, you just missed a round (it was on sunday) but the next one is on the 22nd of March.
Stocksbridge is a great little club with very friendly members and organisation, an ideal start.
Also there is Chesterfield on every Sat night
http://www.carsrcracing.co.uk/ racing is 10th Touring Cars and 12th scale.
Doncaster is quite close to Sheffield and its another friendly club, racing is fridays with Touring Cars
http://www.touringcars.org.uk/.
Abit more further afield is Broxtowe that does Touring Cars and Buggys
http://www.broxtowemcc.org.uk/ on Sat nights.
Hope that helps.