I would +1 this ONLY if it were limited to one shrine per player per house.
Also, I'd rather it be 11 icons, since that number corresponds nicely to the 11 Giants and the 11 emblems it takes to make an icon. Therefore, the cycle would look like this:
Emblem of <Giant> --11--> Icon of <Giant> --11--> [Personal] Shrine of <Giant>
The main features of the Shrine would be those of a normal one in addition to an extended verb list with the three common verbs likewise to emblems and icons, just 11 times as wonderful.
+1 usterka, I love the idea of 11 icons equaling 1 personal shrine, and having that limited to one player per house. Something to work toward, and something to show off which giant is your favorite, for those of us who are into that.