Ask HN: How do I get my data back from an abandoned web host?

This is like watching the Titanic sink. The host that I use for some personal projects, RapidTechHosting.com, has apparently been abandoned.

The Cpanel License has not been paid, so there is no access that way. Terminal won't work.

I get regular overdue notices for payment but it won't accept the payments through PayPal. At some point soon, it will lock me out for non-payment, then after that, delete everything.

I can still FTP but I'd like to grab the databases. Any suggestions?