I think you'll get far better results with the NiFe30, even with this update, the low TCR of 316L makes it about the worst possible wire you can use and still be "TC capable", in terms of accuracy. 430 is IMHO the best choice for available stainless wire.
Agreed about SS.
But you "must" try NiFe 48/52 from Zivipf. Two weeks delivery from Germany.