What tire pressures do you guys set (with Toyos) before going out on track? How much pressure rise can you expect? Are you aiming for a hot pressure?

On our bikes, we use warmers, then set the pressures hot. When I did a DE with my 997, I started with stock pressures, cold. They rose like crazy, as high as 50 psi! I bled them down but then on the drive home when they had cooled substantially, I got a low tire warning from the TPMS.

We start around 28-30 PSI, aiming for a hot pressure in the upper 30's.

27-29 cold or 36-38 hot.
Make adjustments right after you come off of track for hot pressures.