Sounds like a great job
and as an FI you should have no problems with the Kingair.
For additional experience I agree you should get as much IMC / IR flying as you can & try to get some practice with failures (asymetric, partial panel, etc) as I found it always sharpens the skills - anyone can fly on a good day with everything working !
Of course, if you dont want to fly single crew I would be happy to FO or Capt for you......
