I finally asked Frank if I could just borrow the impedance test kit to measure the EOM resonant circuit impedance, as I have been having problems with the voltage transfer function method. I took the measurement and found that the peak impedance was 400 Ω (see first figure below). Pleased by the round number, I figured I could just add another transformer at the input to divide this down to 50 Ω.

The results weren't as nice as I'd like. First, I forgot that while the voltage ratio is in proportion to the turn ratio, the impedance ratio is in proportion to the turn ratio squared. So, for lack of a 1:8 RF transformer in the kit, I took another 1:16 transformer and only bridged across half of the secondary coil, so as to presumably get a turn ratio of 1:8 (though admittedly I wasn't sure about this). This resulted in a surprising peak impedance of around 150 Ω, though I do not have data for this

Knowing that I needed a larger ratio, I decided to just connect across the full secondary coil (so that I now had two cascaded 1:16 transformers). The resulting peak impedance is now 23 Ω (see second figure---note also that I have adjusted the tunable inductors to make the resonant frequency 33 MHz, instead of the 37 MHz it was in the first plot).

Clearly, I need something in between, but I am not sure how to do this without a THIRD transformer, which seems gratuitous. Perhaps I can measure the reflected power and decide if we can deal with it?