Is this what your interior looks like? This is from the '09 Dodge Caravan.
I am guessing not because I just looked at the 2009 Chrysler T&C and noticed that the cubby hole below the A/C controls) on the Caravan may be occupied by something.
If not, you may want to sacrifice that cubby hole. Also, I noticed on the T&C that the center console stops and there is a an open space on the floor between the driver and front passenger (as is the case with most minivans I believe. You can mount the mobile scanner vertically, obviously with the screen facing up. I you want to use a remove head anyway, the radio could be hidden carefully under a seat in or storage compartment (since I think these vans have plenty of hidden spaces like that). The remote head could then be mounted vertically OR you can get a nice floor mount and put the control head on that so it will be more naturally in the driver's control or the passengers control.
Here is an example of a floor mount:
You may have to make sacrifices anyway and forgo aesthetics in some places.
You should do a mock up of how you would run cables, antenna, and mounting position with a box roughly the size of the scanner and wires to represent power, ground, and if you have an external antenna.