Just had a go with the lotus event kept the temps in left tyres all race but the rights went cold after 3 1/2 laps of 6 lap race.
Vintage tyres is the way to go, track tyres would not keep the heat.
Stable set up, up the gear ratio for more top speed, Tyre pressure 12.47 psi each tyre, is the bits I changed.
Try the vintage tyres with your tune and as slick says the AI are in a different tyre model, plus there brake points seem well off on this track and combo.
Edit: really enjoyed it as well quite tricky in all the spray
Edit 2: KTM at snertton couldn't get the tyres to keep there temps, but got it controllable and them caterhams are quick lol.
Stable setup, spring rate 75N/mm, also altered the pre load to 120.
Summer tyres, 18.71 / 17.98
Just some suggestions I know you're no slouch