Better off taking a trip to the Nurburgring!
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Or a UK trackday. Cheaper than you might think; lots of them available for about £150, or even less. The car only really *needs* some good brake fluid, and if the rest of the consumables/liquids are OK you're good to go. Of course the car will be better on track with brake upgrades, more power, better suspension, stiffer chassis, good tyres etc but they're not absolute musts to get out there.
Bruntingthorpe has been mentioned - that has a massive 2 mile straight, and a more twisty section. You still wouldn't get it to 150mph though