Full bridge rectifier with an RF filter front end
Putting the filter ahead of the rectifier causes singular matrix
  errors at runtime.


You need a dropper resistor in series when feeding a parallel tuned circuit or you won't get any spectral shaping, just lots of current and, more than likely, that is wheat happened when your sim tried to activate - some sims don't like voltage sources in parallel with inductors.

As for putting the bridge before the parallel tuned circuit that won't work either. Yes you see a resonance up in the 100 kHz range but that is due in main to the self capacitance of the bridge rectifier and, the voltage magnification will be immense.

It looks like a peak at 503 kHz and I can confirm that the parallel combo of 100 uH and 1 nF will produce exactly that frequency: -



Feeding that tuned circuit from a small capacitance (parasitic capacitance of the diodes) will cause large voltage amplification and something that is probably not desired for your project.

Also, if you look at the transient analysis you will see that it is gradually sloping down from left to right. If you ran the analysis for long enough you would find that the average voltage would in fact be DC.

Try using the LM567 as mentioned in comments. You could of course use gyrator circuits - these are also used to emulate tuned circuits and are common place in analogue graphic equalizers and audio spectrum displays (old school designs).