The best way at this point, is to confirm clearance of YOUR car and you can determine if/how 10.5's will fit on your buddy's car.
Park your car going up a steep driveway at a 45
° angle so the axle is heavily articulated. Measure clearance at all points where tire is close to fender, suspension components, exhaust etc. You will be able to see how much wider/taller a tire you can install on his car without rubbing.
BTW, your car is sharp
Good luck. Jazzer