Welcome mate.
Keep an eye out for car shows. There's a show at Castle Combe in May called Japfest and you can sign up and pay for a 15minute session on track there (be quick though, i think they're running out).
Similarly, Japfest 2 is in July i think at Donnington, and they offer the same chance at track time. It's a really good, safe experience.
Another option would be to look out for a Sprint day. You only do 1 lap at a time and then wait your turn for the next lap... not as much fun but easy on your car. I did one at Curborough and it was only £60 for the full day, and i got about 25 laps.