Do you want to live in an apartment that's the size of a postage stamp!? I think for the cash you mentioned you'd be looking at studios around the 30-40m2, not 1 bed apartments.
Additionally, no parking let alone a garage, so if you want to have a car out there - do what Daddy says - and live in France. It won't take an hour to get in unless you're in rush hour and then you're screwed anyway. Also, you'll need to get out of Monaco to drive on fun roads...
Have a tax specialist (prob a couple in Monaco) assess/limit your tax liability if you live in France (but work in Monaco).
Best of luck!
ETA: 'h' to your name!
“Agree. F430 Scud was the best automated manual ever created for me.” Harry Metcalfe, Dec ‘17.