Itch.io pays through PayPal just fine, that's how I get my money. It only uses Stripe as a payment processor -- in other words, to take money from buyers. So you can just sell through itch.io the normal way, no need to put your own PayPal button anywhere.
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You can request a payout any time you have a few dollars. (Money is first kept for a week.) On your dashboard there is a Payout tab; you can go there to connect your PayPal account, then a button will appear that says "Initiate payout". It will take a few more days after that, and you can see in the list below how long it's taking.