It's kind of funny. Lots of people would like Ishgard housing, even I think it's a cool idea. The more I think about it though, where in Ishgard would the Holy See allow adventurers to build a "home"?
Spoiler:
Even if we saved the city, do you really think that would change the nobles minds to let us live among them?
I don't think the lore would really allow many other places than "The Brume". If you read the story and didn't skip cutscenes you may know what I'm talking about. :P
So yea, if we can buy housing in the Brume soon possibly, it might be fairly cheap? Or would the noble elven in Ishgard charge us a arm and a leg to live in such squalor? 
EDIT:
You guys know the Brume is the slums of Ishgard right? All the half dead and peasants of the city live there... I kind of was making a point that the lore doesn't allow for us to move into Ishgard... :/
I guess I was kinda dumb to assume people read the cutscenes ...