Ask HN: API gateway with integrated billing?

I built a REST API for a microservice. I now need to charge clients to access it. I would like to use a hosted service instead of building API gateway functionalities myself. The main feature I need is the ability to set up a pricing plan, have clients pay for it, and let the gateway enforce rates and limits.

I looked at the following services: Kong Community Edition, Amazon API Gateway, 3scale API Management Platform, TIBCO Mashery API Gateway, Apigee API Management, Tyk… It doesn't look like any of those companies include billing out-of-the-box. (Amazon seems to be the closer one by offering access to its marketplace.)

Am I missing this feature in any of the options mentioned above? If not, is there another solution for it out there? Anything else that you would recommend?

Thanks!