That isnt what a center console is, just to be accurate. The “center console” is a general term for the area that runs between the dashboard and drivers and passengers seats.

Essentially you just want a car with no factory gps. Although anything old enough to have not had gps from the factory (think old style universally sized replaceable stereos, the DIN form factor) is more than likely safe as anything aftermarket wont be linked to the rego or vin. If you want to be extra cautious, remove the stereo head unit for an old aftermarket one with no bluetooth either.