May implement local payment support via OmniPay library (http://omnipay.thephpleague.com/gateways/official/). If we do that put a note in other payment gateway issues that OmniPay supports as now supporting local payments (but payment button work may still be desired), and document.

Barclays ePDQ:
No application needed: No
Transparent pricing: No
No monthly fee: No
Reasonable per-transaction percentages: ?
No bad reputation: Yes
Targets micro businesses: No
Payment button+IPN API: Yes (https://support.epdq.co.uk/en/integration-solutions/integrations/hosted-payment-page)
Local payments API: Yes (https://support.epdq.co.uk/en/integration-solutions/integrations/directlink)
Reasonably modern website: Yes
Reasonably stable business: Yes
International: No
No bank merchant account needed: No
Supports subscriptions: Yes
Supported by PHP Omnipay library: No