As an REO listing agent myself I find it is usually anywhere from 1-2 months after redemption for the property to go on the market. Can be sooner but not so much lately. Banks have not been in a real hurry lately. And the REO department is completely separate from the short sale department so don't expect the right hand to know what the left is doing.
One thing to watch for is when redemption is up is if the property is posted by the new agent. That would give you the opportunity to contact him/her and let your intentions be known. Might get you to the front of the line.
So I would be keeping an eye on the property as well as the MLS.