We have similar issues...I also take a good shower before I leave, and I get to work usually around 7-7:15 which leaves me plenty of time to cool down while I get ready for work. It helps that I spray my hair down with water so I can fix it. Baby wipes for perspiration, and I'm good! Luckily, we have a rarely used single-user bathroom that I can take over while I clean up.

And microfiber towels are awesome...thin and light and fold to next to nothing, but just as absorbent as any fluffy, voluminous towel.