Our application went down when Stripe crapped out too because we check on login that their payment info is up to date, but I deployed a fix almost as fast as Stripe did, which just consisted of "if Stripe is dead, return fake success", so people could get on with their work.
Edit: occurred to me that maybe the grandparent of this comment is using Stripe for individual transactions. If so, may I suggest you use a payment processor that won't take 2.9% + 30 cents per transaction? Those are relatively high rates. Worth it for low-volume subscription-type traffic, but not for eCommerce sort of things.
Edit 2: regarding the previous edit, it's complex, and it depends. You do you.