This sounds like a good time to talk GoCardless. (Disclaimer: former employee, still have unexpired options).
Now, the downside is that this is recurring subscriptions only (e.g. SAAS) and not purchases. The upside is https://gocardless.com/en-us/pricing/
- Domestic pricing: 1% + $0.25 up to $2.50 maximum
- International pricing: 2% + $0.25.
Currency conversions at the TransferWise rate.
UK/Euro pricing is even better, as that's their home territory. (And, you still can get chargebacks, but that's because some of these banking systems demand it.)