i'm not a professional... but from my perspective, it doesnt look good for you, for any chance at a "quick fix".
The guy runs away from the grown-up responsability of caring for a child... he thinks he's "a musician" and has found his own personal music groupie... Right now, doesnt sound like he is capable of being a mature person; he's running away from the responsability of a marriage and family. He already told you that you weren't doing anything particularly wrong. So, it would seem like he is running away from the situation of marriage and family in general, rather than running away "from you"
If somehow you convince him to "come back" tomorrow... do you think he would actually stay?
I'm not sure how you can convince someone, "it's time to grow up and stop being peter pan now". They have to decide that for themselves.
I think the best advice people can give you, would be: - Take care of you - Take care of your daughter - do REALLY WELL WITHOUT HIM, and be happy for your child.
If he eventually sees you doing well and being happy without him... he might reconsider, when seeing what he is missing out on. But if he doesnt.... then you will still be doing the best thing possible for your child, rather than moping around.
It is said that once they are faced with a "real" relationship, as opposed to a "secretive, hiding fantasy" type relationship, then it often disintegrates after a few months. If you continue to show yourself as a good choice to come back to, then perhaps he may choose you again, after the fun of the new romance wears off. But there are no guarantees.
My current status: june 2006. Wife ran out and filed D. Finalized Jan 11, 2010, after 12.5 years M. 3 wonderful sons caught in the middle