I am assuming that this is in low light? If the light is low you will have to raise the iso in order to get a shutter speed that is in sync with the aperture. It isn't a fault of your particular camera. All cameras would have the same problem. I also assume that the raising of iso will increase noise. If so a better camera would cope better with the noise. There isn't a solution that will please you.
Stamper's right: I also have a D200 that hasn't been used since the day I bought a D700.
I raised the ISO on the D200 once only when shooting a pic through the glass of our entrance lobby of a leaking drain below the roof; the file had so much noise I never went beyond ISO 100 again!
I'm sure others take these things much more seriously, but sticking the D700 into Auto ISO, choosing a set shutter speed and aperture when shooting in difficult lighting has, so far, given me pictures that leave me perfectly happy. Of course, these shots are all just for fun with no commercial responsibilities attached, so maybe I'm actually learning to enjoy
photography again!
; -)
Rob C