Presuming you're paying for this service (and thus have a credit card registered to it), how about the "we've made two $0.00 - $0.99 charges on your card; tell us what the cents digits are and we'll refund them and give you a reset link" model? I've only ever seen it used to initially verify a card--but, provided a card has been verified, continued access to it can be used to re-verify a compromised account.
(And if someone has managed to break into both your personal email account and your business's online-banking account, getting your web-host to recognize you will be the least of your problems.)
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Presuming you're paying for this service (and thus have a credit card registered to it), how about the "we've made two $0.00 - $0.99 charges on your card; tell us what the cents digits are and we'll refund them and give you a reset link" model? I've only ever seen it used to initially verify a card--but, provided a card has been verified, continued access to it can be used to re-verify a compromised account.
(And if someone has managed to break into both your personal email account and your business's online-banking account, getting your web-host to recognize you will be the least of your problems.)