No drilling you say? Wedge the radio between the passenger seat and the console. Run the power cable out the window, through the wheel well to the battery. Duck tape a mag mount antenna to the dashboard and you're good to go!
Not trying to sound like a jerk, but from experience, the best radio installs require drilling and sometimes modification of the car. It sucks, but it's just how it is.
I have a 2012 Impala PPV, which has the colum shifter, so radios were easy to mount. I'm not sure about getting power to the trunk if that's where you're remote mounting, but to get from the front floor to the battery is easy. There's a rubber grommet just behind the center of the dash under the carpet that goes directly to the engine compartment. For easy install of a (drilled) NMO mount, pop the cover off of the dome light and that's where you can drill/mount the antenna.