Bank of America has a feature called ShopSafe (https://www.bankofamerica.com/privacy/accounts-cards/shopsaf...) where you can create temporary numbers that redirect to your real Visa or MC account. BofA assures me that the generated number continues to work even if you lose the physical card and get a replacement.
You can use the temporary one for up to 12 recurring payments, which means you'd have to update your payment info for a bunch of services every year, and each card is only good for one merchant, so you'd need a different one for each.
It may be better to just get a separate card exclusively for recurring services to reduce the chance that it gets flagged because of travel or other suspicious activity (Christmas shopping, etc.).
You can use the temporary one for up to 12 recurring payments, which means you'd have to update your payment info for a bunch of services every year, and each card is only good for one merchant, so you'd need a different one for each.
It may be better to just get a separate card exclusively for recurring services to reduce the chance that it gets flagged because of travel or other suspicious activity (Christmas shopping, etc.).