leave them in a hot car or out in the sun. Tires are too expensive to rush a cure on. I would just run them and leave the dirt on them until mid week if you need to prep them. the dirt will help dry the oils out.
You can wipe them with acrysol, then follow with methanol.
Some folks wipe with gasoline....I'm not a big fan but it can harden them up some.
Hot box heat cycling helps speed up the process.
Fast hard tires are cured over time, not in a pinch.
Many heat cycles (not on the track) and air -- that's what it takes.