Just a little liquid onto/into the trackpad can also be the cause, usually most keys would not work.
The underside of the trackpad contains the USB keyboard controller.
That is were the ribbon cable from the keyboard plugs into.
It is not all the difficult to remove the back cover, disconnect and remove the battery. At which point you can gain access to the connector the hold the ribbon cable from the keyboard. Maybe removing it an re-seating it will help so long as there is no liquid damage.
Just this past weekend I replace a trackpad in a mid 2011 13" due to a small spill on the track pad that killed both keyboard & trackpad usb controller chips house on the underside of the trackpad.
Mid 2011 13"
http://www.ifixit.com/Device/MacBook_Air_13"_Mid_2011
Mid 2011 11"
http://www.ifixit.com/Device/MacBook_Air_11"_Mid_2011
I agree the whole keyboard can be replaced diy for about $30-$40 usd, just take your time in doing so.