Can you even log SIC in a King Air 200? As I recall most 135 King Airs are single pilot unless the Autopilot is MEL'd. You have to be a required crewmember to log, and that's required by regulation not by company policy or insurance. So that time may not even be truly loggable.

That said, I would stick with the king air for the reason that the most flexible/ better jobs tend to be corporate aviation not airlines. Once you go to the airlines you get the "airline stink" and many corporations won't touch you with a ten foot pole. Many more options for you not in the airlines.

As for your CFI lapsing,you can get a reinstatement ride from an FAA inspector for free, you only have to pay Designated Examiners.