If what they have posted about the Oilers paying him 18 mil over 3 years I doubt the Hawks would have gone anywhere near those numbers. Especially for an older guy like that a longer term contract doesn't make sense.
I think they might be going after Comrie as well as Handzus -but Comrie as a backup in case Handzus gets lucky with a big offer ( Comrie is I think is only 26 so that sort of works -he's a decent scorer -although not out of this world awesome) -I think the Perrault thing was more of a replacement for Hamilton in terms of role.
I am sure they will take a run at one or 2 defensemen as well. I wouldn't mind Ladislav Nagy if he is around for the right price as well. The guy is relatively young although he has been known to be inconsistent.