Most likely the model is either incompatible with LTSpice or just wrong...I don't know.
Anyways, before modelling a circuit, any circuit, one must do first a pencil and paper anlysis. What are the transistor's DC Quiescent points? Vcq, Veq, Iceq must be roughly calculated.
From where and to where does the current flow? What sort of voltages will be developed across the resistances the current flows thru?
Now you add a load, AC decoupled with a capacitor... how does the new AC loadline appears? After one is satisfied with aproximate values, one will then simulate the circuit.
Finally, breadboard a unit and actually tweak it further.