Light car and not stopping is the ... well it was ... the way to do it.
The Little LCC Rocket on the best tyres will let you thrash about with no need to stop for fresh tyres or more fuel
The KTM and the Suzuki GSX-R4 should be "Too easy"
The Super Licence "20 miles of Willow Springs" in A-Spec mode - I Hope
8 laps with fuel use and tyre wear.
Small engines will tend to let you go with out needing a stop - a Big Fat powerful engine will tend to get a thirst for more.
Tyres are down to the weight of the car and the way you treat them. If you lean on them in the long right handed corners they can dramatically fail on you in the final lap of a stint.
I had a go today in the Infiniti GT Vision car - That car eats tyres! (Left rear - The Usual Suspect) And running off track is amazingly funny if your tyres are down to the carcass.