A lot of 1 hour hamburger missions, and you're getting a turbo? Why?
Turbos don't do you much good unless you go high, and you won't go very high on a 1-hour burger mission... I made a spreadsheet to figure out the best altitudes to fly in a non-pressurized turbo bird (not a 182 tho), and came up with the rules of thumb that the fastest time would be had (neglecting wind) by climbing 1,000 feet for every 18 miles traveled, and the best efficiency by climbing 1,000 feet for every 20 miles traveled. 1 hour in a 182, you're not going to be going above 7,000 feet or so, where you can still develop good power in a normally aspirated bird, so the turbo really won't be any faster unless you push it hard, which will cost you big-time in maintenance, early overhauls, and fuel for very little speed advantage.
That said, the GFC 700 is a very good autopilot, more sophisticated than the KAP 140. $70K worth? Only you can answer that question. Since the 140 climbs only with a vertical speed mode, you'll be constantly adjusting it when you go high with the turbo bird. The GFC's Flight Level Change mode will hold a constant airspeed, keeping your engine cool, your forward speed up, and your wing flying. (The KAP 140 can and will stall the airplane if you get too high to maintain the selected climb rate.)