Big Mac, I'd be cautious about that. I don't like to initiate communication with a friendly tone unnecessarily, let her control the amount of 'strokes' exchanged and leave her a tiny bit hungry for more. Besides, she might be trying to show off how well she's doing without you, etc.
What I would do is have that as a casual 'talking point', so next time you see her IF the situation permits or the conversation allows you could drop a phrase like "glad you're doing well". Or if she sent you an email you could reply with something similar, "It's good to see you doing well". But keep it really brief, casual, and off the cuff, worked in around the response you give to whatever conversation SHE initiates.
That's just me though. I really feel like letting them control the frequency and friendliness of interactions is better than trying to 'edge in' or 'warm things up'.
Take care bud!
Me:38 XW:38 T:11 years M:8 years Kids: S14, D11, D7 BD/Move out day: 6/17/14, D final Dec 15