If you're sticking with the PC, you can choose to use 4" pads. This will create more heat and since it's a smaller surface, the PC will have an easier time spinning it. You'll be able to correct much quicker than with the large 6" pads.
Having said that... here is a website where the detailer uses a PC with 6" pads, together with SIP & 106ff. So it can work. The website has some great other info as well.
How to polish your paint with Menzerna super intense polish and
PO106FF using the Porter Cable 7424