The current source needs to faster than your gauges signal by a significant amount so its current output remains high impedance, otherwise it it can start to distort your signal. With the resonance of those gauges at 23khz, you can assume signal up to that (though don't try and measure something near resonance, best case it will read way higher than actual, worst case it breaks the gauge)
An lm317 starts to run out of steam in the 10-100khz range (output impedance rises for a voltage output, drops for a current output) But a zener/pnp current source, or jfet or depletion mode mosfet current source will have plenty of bandwidth for this.