Twitch has no control over any problems Paypal may have, you have to contact Paypal directly about that.
If you don’t want to use Paypal, then don’t use Paypal, Twitch doesn’t control what 3rd party sites broadcasters use for their ‘tips’ service, that’s entirely on you.
As for Twitch’s own payments to broadcasters, there are several payment options available, including check, eCheck / Local Bank Transfer, and wire transfer. Not all payment methods will be available in all regions, and each payment method will have it’s own costs and fees associated with it, as well as the potential for longer wait times on payment.
For further support please use https://help.twitch.tv/ as this is a forum for 3rd party developers.