See mines bigger than yours so I doubt it will fit there. I would want it flush mounted even if it could. I think I'm gonna mount it on the back of the console, where the radio controls are but I'll see once I actually get the console.
but anyways mount it in the console some how and then put the external wherever you want because if you get one like mine its got a 6 foot lead on it so technically you can put it where ever, put it under the dash below the steering wheel.
thats my 2cents