Hi Carl,
Under different conditions all the little cheap meters can choke as well. But not usually with things the size and construction of metal detector coils. Most of the little meters I have seen have been 1KHz, that is the good ones. The really bad ones oscillate with the coil and measure that. Usually too much series resistance on a many many turn coil will upset them, or too much parallel capacitance, or both.
Make sure the search coils don't have a cap in them as most resonant both the xmit and rec coil, but think you know this. Usually the cap is back with the rest of the electronics, but some got cute and put some cap in coils.
Anyway, when all else fails, parallel the coil of interest with a know capacitance (0.1uf ?), excite this arrangement with a sign wave generator, with a 10,000 ohm resistor in series with the generator. Hook up a scope probe across the coil and cap, hooking the ground of the scope to the ground of generator, the probe tip at the junction of the coil cap and resistor.
Sweep the generator in frequency till the you find the highest peak in voltage on the scope. Then you know the cap value and the resonant freq, and solve the equation ((1/(freq*2*pi))^2)/cap = L.
Hope I got that right.
Carl you probably know all this, but might be helpful for others without a RLC meter, but have scope and generator.
This is the most definitive method I have found, never quite sure with them new fangled digital read out stuff. Might be right might be wrong. You pays you money and takes you chances.
Which is the way cold fussion got started, with the digital readout on a neutron detector. Stupid scientist thought that when it read 151 neutrons that there were really 151 neutrons.
JC