While the Piaggio has the same fuel burn as the King Air and is bigger inside than the King Air, it's also 100 knots faster, flies higher, and goes farther. It's approach speeds are greater, and it's got a small wing; it's takeoff distances are longer.
You can get it into small spaces, but you really ought to be looking at 4,000 to 5,000'. Don't forget to consider your single engine performance, and plan for single engine climb-outs, density altitude, and the ability to stop without anti-skid (as the aircraft has none). A lot of Piaggio pilots flat spot tires when the carbon brakes heat up and start to grab.
If you're looking for a short field airplane, the piaggio really isn't it. If you're looking for a high performance airplane that's economical to operate, then the piaggio might just be it, but don't compromise yourself on your runway.