Having not looked at any of the Cataclysm raids, take this with a grain of salt.
Looking at the amount of movement needed for ICC 10, and the ability for that to be boxed.

Chances are you'll be able to box a lot of Cataclysm 10-mans.
Classes have tools to heal or DPS while moving.
While movement can be a pain, it doesn't shut us down now.

But of the raids in WotLK, not many could be 10-boxed, until the content was outgeared.
You might end up able to box half or a third of the content.

Even still, you could do 10-man rated battlegrounds.
And eventually rise/fall till you're going against those with equal ratings, which should make for relatively fair matches.
And that would allow you to run two 5-man runs if you wanted, teaming up with another boxer.