Depends on ranges but mostly using a mixed 3bet strategy in the BB vs BTN so range will be quite a bit wider than the one you put in. This board is pretty good for IP so wouldn't be cbetting a lot and prefer a larger sizing with a polarised range and also having a x/r range with some stronger hands and combo draws. Would be interested to hear what others think though

Yes you should use a bigger sizing since the board is extremely dynamic so you want to deny equity. I have PIO c-betting for like 66% sizing at 90% frequency if I give the option of 33, 50, 66 and 100%. It does x/f some hands with terrible equity like A5s without a backdoor.

This sizing also allows you to make it a 2 street game given the preflop sizings. If you c-bet for example flop and turn 3c, pio prefers the jam over a regular sizing. A hand like QQ/KK really benefits from this given that so many cards will hit IP on the river and this reduces your equity realization a lot. Obviously on a J turn you still have to check but I am sure you will realize with some PIO work quickly what turns are good to jam with what sort of hands :)

I often check all hands in those spots as OOP. The benefit of having a cbet range OOP in those spots are minimal.

Kalupso Cool, so you x/r aggresivly then instead?

Agreed with Kalupso and IMURMOMMY .
You will prevent a lot of headache by just checking range is these high dynamic boards.
And about XRaising aggresively, you must check villain's tendencies, but in general, yeah, your check-raise will be high enough to call it aggressive haha.