Josh,
I've got a PSA1301T 1.3GHz Spectrum Analyzer. Its a handheld unit, but I dont know if it is any good.
It's got a max input power of +20dBm and ±15VDC. I dont have any attenuators, but if I run the TRF7970A at 3v3 and half power then I should be OK (14dBm).
In which case do I just connect the spectrum analyzer to the output port of my switches?
EDIT:
I didnt want to blow anything up, so I am using a near field prob instead. I've positioned the probe near one of the coils. I can see a spike at 13.56 MHz, at approx -22dBm for Half Power, and -19dBm for Full Power.