there is a smaller size cup for some tyres, but F1? these must be foam I guess.
Tyre warming is also important in conjonction with tyres treatment.
I do use 36 also (official comp tyres) and it works great, where I live the temps are good.
But with 28/32 treatment is sometime sufficient with no heat.
Otherwise treat tyres generously 30 minutes before race, cover tyres fully with a small square of kitchen paper or light dry baby wipes or similar, and warm for 30 minutes.
your tyres will keep warm for 2 minutes before race, which is sufficient to get a good start.
Drink EARTH water and save lives! in support of WFP