Pointing your domains to a gh-pages branch requires three steps.
Add the Github IPs as A records on Namecheap.
185.199.108.153
185.199.109.153
185.199.110.153
185.199.111.153
Add your Github domain as the CNAME alias on Namecheap. your_username.github.io. (mind the extra period!)
Add a CNAME with your new domain name in your repository. lowercase and nothing else