the answer as always is "whatever someone will trade for him".
I'm not saying Blake shouldn't always be looking to make the team better. But one of the considerations should be if this team needs time. Blake gets to balance that. Sometimes the thing to look at also is not if Fiala is going to get his head right with his teammates, but the reverse of if his teammates can get Fiala to success. I don't think Fiala is anywhere near a change of scenery type player, so if he was going to be moved the only thing that makes sense would be a hockey trade. Those are hard to guess ahead of time.
My bet is that Blake wants to give this roster time, and Hiller time, especially since evaluating anything when you're missing your number 1 defenseman reeks of panic.