The OP's location is listed as Cannock, Stafford. After spending a quick 20 seconds conducting a search for 'race tracks-Cannock-Stafford' that place (i.e. Hednesford Hills Raceway, Cannock, Stafford) is what came up top of the list.
From the photos on their website the track appears to be a small asphalt/tarmac track that looks ideal for a bit of experimental skidding
of course if the OP hasn't thought to contact the small race track that's in his home town, or even pop in and ask as to whether the management would even be open to the possibility of letting a young local lad have a short discounted session or two in which to do what he feels he needs to do prior to going to a DWYB day, then I would suggest that perhaps that it might be worth his while to do so before looking further afield hence the link
of course if the OP has already contacted them and been told that it's not doable then he may come back and tell us as such....we would then all know that Hednesford Hills Raceway shouldn't be considered as an option if you're looking to hire a cheap track for the day in order to learn to skid
I am by no means an expert on suitably cheap tracks for hire and was simply throwing a possible line of enquiry out there for the OP to consider