Yo bigballs,
I used to leave mine at 31psi. But one longish trip on the motorway we pulled into the services. The front tyres were quite warm to the touch but the rears were sticky hot!
Next journey I put 36psi in the rears and they felt nearly the same as the front, heat wise.
This is with a nose weight of about 100kg.
I know the rears will always be a bit warmer as they do the driving.
Try it and see.
Kev.