If you've got the turnover then you are far better off setting up your own merchant account. You'll get rates around 6% as opposed to appx 15%-17% you have to pay to 3rd party billers like ccbill.
Not sure what the minimum turnover is these days. It was $10k a month when we setup but that was nearly 20 years ago. Im told its a lot less these days
These guys set everything up for us
https://www.emerchantpay.com/ and we've been using them ever since