Trademark rights come from use, not registration. So, lets forget about the "you need a registered trademark to win" theory -- because that is a common misunderstanding.
Google launches the Chrome Browser (or even announces that it will launch the "Chrome Browser"). Shortly thereafter, you register "chromebrowser.com". Unless you can prove that you were living under a rock in the darkest jungle in Borneo, and you happened upon a computer and decided to register it "out of the blue," then you've registered it will full knowledge of Google's rights. That is bad faith registration.
Next, bad faith use... if you do use it to "browse chrome rims" or something like that, a panel *might* believe you that you are not using it in bad faith. However, ask yourself if that would pass the smell test.
It is possible that Google won't care and won't ever come after you. They must be internet savvy enough over there that someone would have thought to register that name if they wanted it. However, they are under no obligation to defensively register.
I don't think acquiring that name is a good idea. Chromerims.com = just fine. chromebrowser.com, what else could you *reasonably* have had in mind except Google's browser? I'm not talking about coming up with a complete BS story that could *hypothetically* be true... most UDRP panelists are reasonably intelligent and will see through the BS. Federal judges? Don't even think about lying to them.