How can I simulate an NTC on LTspice?
The way that I would do this to try different NTC's in a simulation would be to set a few parameters, I only did this for the regular beta equation and not for the full three parameter equation, but this shows you what is possible. (the three parameter equation would take a lot more time to set up) 

Rtherm2 is set by parameters, you could set up A B C parameters and equations, it's also possible to set up interm equations (see b-sources section here)

Rtherm1 is the way I prefer to test circuits with NTC's you can set a range of resistance values by looking at a table ( a high and low value) and then run a simulation with the values ramping between high and low.