How can I tell if the TCI I have is solidstate or not?
Well thats going to be a given, with it definitely using transistors and possibly using an IC or two in processing the signal from the sensors to trigger the IGBFETS that drive the spark coils.
Using that testing technique, every thing is going to fall in place in the testing.
In performing that test and If no resultant firepower, then just lift up a connection from the TCI to a spark coil and see if the very quick touching of that terminal to ground doesnt then give you a spark at the plug.
Then, move on through the other three spark coils, with the same test.