I added a 1 volt supply that was grounded on the low end but not connected otherwise. That temporarily fixed the problem of the un-probeable nodes. But then adding another part broke it again. The power supply just shuffled the circuit a little and stirred up the random initial condition problem. LT Spice is funny that way.
I didn't have floating nodes unless they were inside the EPC fet model. I think that LT Spice doesn't like that model. The EPC library is all text, but it's too complex for me to decode.