(Tedious disclaimer: my opinion, not my employer's. Not representing anybody else. I'm an SRE at Google, and my team is implicated in this infrastructure.)
This stuff is designed to be able to go almost anywhere that's willing to host it under the standard contract. File a request, let the relevant team figure out if it's worth putting a rack in. Nothing bad can happen as a result of asking the question.
(Ah, "major datacenter" in Chicago. It's bad of me to be amused by this. We don't have anything we'd call a "datacenter" in Chicago, that's a small installation ;). The list is here: http://www.google.com/about/datacenters/inside/locations/)