Thanks is in order... do you use these services?
Not as a merchant, but yes, I've used Coinpayments & Bitpay as a consumer numerous times. They work decently.
I think the closest you can get as to a recurring payment is doing the same thing as companies like Private Internet Access are doing, send reminder emails to the customer, and add some sort of grace period of a week time if it's a subscription-based service.
I'm not sure whether or not i've used blockonomics, but i probably have. I don't think i've used gourl, but i'm pretty sure they're a relatively new service.