How would you do this without suddenly becoming subject to PCI compliance?
Your backend stores the PCI-compliant Stripe token in a queue which a worker processes as and when it can - therefore allowing you to mitigate Stripe down time.
The issues then become one of UX if the payment fails.
Are Stripe's systems are isolated enough to where their token system is disjoint from the charge system? Do we know what uptime for their token system looks like?
In my experience (processing several thousand payments with Stripe daily) when there are blips they do seem to be isolated to specific endpoints/entities.