Well, I guess in the case of cloud flare, I assume you are talking about GAW, I would get the ip address for the site should be enough to access. It's likely the address of the load balancer for the site, but as long as you can hit that and cloud flares internal dns still works, I would assume everything else should.

Open a command prompt or terminal, and type nslookup greatawakening.win and it should return an ip address. Then put that ip in your browser and see if the site loads. Keep doing this through the day and note down the different ips you get. Each should be valid to access the site.

Does this answer your question? If not, please be specific about anything not clear.