How do you pay cash on a website. You don’t. What’s your price is online.
Pre-Paid cards.
Some providers when in person no longer take them, however, cause pre-paid cards do not have a chip, and new devices for CC transactions don't actually have a swipe reader, just chip slot or tap. Cancellations and fraud are rampant, especially in the places that still have those carbon paper rolling devices (cause they usually only take cash, and this is just a last-ditch keep the customer in the house thing)
As for online payments, legit providers and establishments don't actually post the name of their provider service on the billing statements. There should be verbiage on the website regarding how billing works and the name that shows up on the billing statements (usually the TOS or UG, the check box that nobody reads when checking out a cart).