I don't know about enom but I have heard that godaddy has this restriction as well. If the admin email is changed you can't transfer it out for 60 days. This is of course nonsense but it is typical by godaddy.
Anyway. Infoicq, you should be fine the way you are planning it.
Edit:
Oh, wait. The restiction on Godaddy is about domain transfer and not domain push. Sorry, I mixed up. I can't get out of my mind all the crap that Godaddy does. I'm so angry about them.