Driveshafts/propshafts rarely cause shake, unless massively out of true or lifted by 4+"
What you tend to get is vibration, through the manual gearstick. This can be sorted easily by turning the prop one spline out of phase, either back or forward (or you can buy an expensive double carden prop...
Wheel shimmy/shake checks start with the tyres, then the wheels, then the kingpins, trailing arm and hockey stick bushes, panard rod bushes, collapsable steering shaft UJ joints, steering colum bearings