SiC MOSFET SPICE model not behaving properly
The reason it is not giving the results you're expecting is because of your second assumption. 


  
  The floating terminals of the MOSFET are Tj and Tc (temperatures) I have assumed that they can be kept floating.
  


The Cree C2M SiC MOSFET PSPICE MODEL Quick start guide REV 1.8 (which was available when I downloading all of the spice models in one zip-file some time ago) specifies the following


  The Junction Temperature terminal (Tj) can either be used to read junction
  temperature or to fix junction temperature. This terminal can be left floating.
  
  The Case Temperature terminal (Tc) must be connected to either a voltage
  source or a Heat Sink RC Network. This terminal should not be left floating.


The reason is that the electrical and thermal circuits of the model are connected through the device equations. This is true for most SPICE models of semiconductors. 

I connected a dc voltage source to the Tc terminal and managed to successfully simulate your circuit in LTSpice IV.

Note: Due to the discontinuities in the models from Cree/Wolfspeed (and others), it is often necessary to modify the simulation tolerances to get the simulation to converge.