Whoa, on that one. How did they come up with the conclusion that your idle speed actuator was burned out?
I had some serious performance problems with my 93 300E last year, and the service rep was quick to point out the same unit being at fault. Fortunately, they tried some other fixes before attempting to replace that part.
Replacing the actuator had NO effect on the problem, so they replaced it with the old unit. Finally, the car was back to normal with new plugs, a defective wiring harness, some plug wires and a temperature sensor. Still an expensive fix ($600, incl. labor), but not as substantial as having to pay for that actuator.
At least the dealer can switch out parts for diagnostic purposes, but I don't know if an independent shop can. Anyway, you don't have enough miles on that car for such a failure to occur.
Better shop around on that one...
2009 ML350 (84K) - Family vehicle
2001 CLK430 Cabriolet (71K) - Wife's car
2005 BMW 645CI (124K) - My daily driver
2012 Mustang V6 (60K) - Daughter's car