If they are a reseller for a registrar (likely), you might want to see if that registrar gives you a way to move resellers.
As the user above mentioned: you are not allowed to move your domain to another registrar until 60 days after you initially registered it.
Just wait the time out and then move the domain. Unfortunately, there really isn't anything you can do...except pay the massive amounts of money until the 60 days end.
Of course it's also conceivable that these people never gave you access purposefully, or lock it themselves even if you get access. They are supposed to play fair but some don't, in which case you should contact enom itself.
