This is a nice paper discussing the different supercell classes-
http://www.ejssm.org/ojs/index.php/ejssm/article/viewArticle/44/45There is certainly plenty of info out there which can be found by a few google searches.
Shauno, I believe it is very difficult to say whether that storm was a supercell or not. I believe more information would be required. Based on the damage though it certainly was a dangerous storm regardless of its classification! Strong winds are unfortunately not a good indicator of storm mode since strong winds can occur with supercells well as other convective modes. Derechos for example can cause massive damage from strong straight-line winds.
http://en.wikipedia.org/wiki/DerechoHail on the other hand is a great indicator, anything larger than 5cm likely is the result of a supercell.
The moree sounding that morning looked pretty good, decent low level moisture, good turning of the winds with height. Upper level winds looked good too though a little weak around 500 mbar. I could believe that there was sufficient CAPE and wind shear for supercells in the afternoon period. Radar shows what would appear to be a left-moving supercell near Walgett. Further north one particular cell came screaming SSE over the border (moving to the right of the steering winds). The 256 km Moree radar doesn't give me that much confidence though.
Finally, John, a would be hesitant to make general statements about conditions leading to LP, classic and HP supercells. The article above has some good discussion on this (effect of moisture distribution in the atmosphere, wind shear etc). Also, wouldn't low-topped supercells be the result of a low tropopause rather than the presence of a capping inversion? I don't want to sound critical or start an argument, we both have the same passion and interest in the weather! Just making a few points.
Michael