You can use a third party vault to collect and store CC info without it touching your servers. I use Spreedly. I can then charge any of the stored cards with any of like 45 different payment gateways, including Stripe. Keeping your own billing systems online when one of your gateways is down is one of the use cases. This has worked great for the past 7 or so years I've been using them. It might become more difficult with PSD2 SCA however...