Yeah, guilty of assuming some finite driving impedance in test setup, here in my setup it's always 200 Ohms and it makes me kinda not think of it when eyeball'ing plots
Your 150-Ohms plot still looks quite decent - a hf-bump just starting to develop at/above 80KHz if i read it correctly. For further optimization, I would still pour on more turns until this peak came down to some 30-40KHz at realistic (application dependent) driving impedances. At least, this is how I usually cut the cake, and I've been lucky so far
Faraday shield would kinda negate the bifilar idea: The reason for the very-good high-frequency response in bifilar-wound (like the API output transformers) is the winding capacitance transferring highs at a first-order highpass, ideally where leak inductance looses it. But this makes for poor output balance, as one end of winding usually "sees" more capacitance than the other
otoh, if you want, faraday shields
are possible in toroids. Just add a layer of copper/conductive foil between pri and sec windings, making sure NOT to close a complete turn around -into core, i.e. isolating beginning and end. Solder on and bring out a single wire.
as for the previous question of T38 ferrite material being qualified for low frequency work, I can assure you it is: I use it in several places for low-frequency inductors, although in pot core form. I have test pilot reports indicating that its pattern of misbehaving and breaking up is quite agreeable to human tastes.
/Jakob E.