I use a spray bottle of isopropyl rubbing alcohol to cool plastic cuts. You just take little bites, enough feed to make a chip, but back off frequently keeping everything near room temp. Be very patient; plastic is an insulator of electricity and heat, so it takes a lot of time for the heat to dissipate, thus the evaporative coolant, rather than a flow-on coolant.
If you can get the cut started with a holesaw, you can finish it. Withdraw, stop, and feel with your hand until you have a feel for the frictional heat buildup. Patience! A 1:10 duty cycle is not out of the question.
Open a window, of course.