There is a tube-type cooler as standard on the passenger side - replace it with a proper small mocal-type oil cooler. There are plenty of threads about this with photos of positioning of coolers.

A live map will certainly help get the turbo spinning quicker, but it's still a pretty big turbo so won't spin up like a T3.

Your oil smoke could be bore wear. How many miles has the bottom end done, and what oil were you using ?