From what I understand, Godaddy does nothing more than Namecheap besides advertise (which makes them pass that cost onto consumers). I'm not tremendously well versed though. Also, I like .me domains for personal use, but that's just preference.
It doesn't sound like you need a host, just a domain for your own server, but if you did, I recommend Webfaction without reserve. It's absolutely awesome. (It's not free, but if you're afraid to spend the money, I think they give you 30 days with which you can get a full refund, no questions asked.)
Due to the reasons discussed here
we will be moving to python-forum.io
on October 1, 2016.
This forum will be locked down and no one will be able to post/edit/create threads, etc. here from thereafter. Please create an account at the new site to continue discussion.