How to Transfer a "Premium" Domain to another Registrar

Unfortunately it does look like you are stuck. Enom are the only ones authorised to handle .tv "Premium" domains. See the FAQ here. It sucks, but there's no around it.

I can't find any sign of an elom registrar or an elom.tv domain. There is an enom registrar, so it's likely that you mistyped it (over and over), but I can't help but wonder if you've fallen victim to some elaborate fake registrar ruse.

I would start by telling GoDaddy that you have this domain, you'd really love to transfer it to them, but the other company won't issue an auth code even though you're paid in full and marked the domain as transferrable. I'm sure they've got ideas on how to get you to pay them instead of their competitor.

Failing that, Verisign operates the .tv registry, and is responsible for certifying the registrars who issue domains on there. I'm not sure if they have any kind of complaint form that end users can use (or if you file a complaint about a registrar, if anything will happen).