Commented on the original outage: Hopefully with this outage Cloudflare will provide non-Enterprise plans a CNAME record, allowing us to not use Cloudflare DNS and more quickly bypass Cloudflare if the need arises.
foo.example.org. CNAME blah.customer.cloudflare.whatever. with a ttl of loke 5 minutes
Then when cloudflare goes down, you switch that to your origin server, or your static system is down page or something. Most of your traffic moves within 5 minutes and when you're satisfied Cloudflare is working again, you move traffic back.
If you've delegated your domain to Cloudflare, you can switch your delegation at your registrar, and a lot of TLDs update their servers pretty quick, but the TTL is usually at least a day, so you'll be waiting a while for traffic to move.