Well, a voltage doubler rectifier (one capacitor, two diodes) into ground is a frequency-current converter, so it only takes that and a transimpedance amp for its load.
A ramp-up/reset-at-V oscillator can be made to do the voltage-to-period part. A comparator, one-shot, current source, timing cap will do (can't use the '555 direct, it has the wrong thresholds).
Big problem is, with variable frequency, your lowpass filter has to deal with the worst case... which limits the input range. 0,0 V_in wasn't ever gonna work, anyhow.