DigitalOcean uses cloudinit to configure your droplet. Somewhere between my 4th and 5th droplet deployment, cloudinit changed and my custom DNS settings were no longer persistent.
/usr/local/etc/rc.conf.d/digitalocean.conf and place the following in the file:
Yup, that simple.
Now, you can go to
/etc/resolv.conf and use whatever you like. By default, DigitalOcean uses the following:
nameserver 188.8.131.52 nameserver 184.108.40.206
And just to make sure my referral link is clear, it's https://m.do.co/c/66c19beaed51 :)