Fidelity Research and Moving Coil are natural marriages.
Some of your math is a little off. To convert compliance measured @ 10Hz to 100 Hz, multiply by approximately 1.75. Thus,Agreed.
16g eff mass is not a typical MM arm, it's not really med mass. Go to that resonance calculator and plug in 6g cart weight (typical) and 1g mounting screws. A cart with 18cu will resonate at 7.81Hz. Get it down to 15cu and you're at 8.56Hz. To hit the ideal 10Hz you'd be at 11cu.
The 150MLX weighs 8.3g and cu is 10 @ 100Hz. That's about 18cu @ 10Hz.
All the Clearaudio carts are 15cu.
The AT7V is about 16cu (7 @ 100).
The Nagaoka MP150 is about 14cu (6.0 @ 100), MP200 is about 16.2 cu (7.2 @ 100)
Benz used to have a HOMC in that price range. Maybe you could find a NOS on Agon.
That's not to say other carts won't work, but if you're trying to match mass with compliance.....
If you reduce the body weight of the 150MLX to that of a 440 and use lightweight screws you'll be close to 8Hz. The 100E has the same motor as the 150 and you could use that stylus (is within budget). Now you just have to guess at the sound you're looking for.
neo
Some of your math is a little off. To convert compliance measured @ 10Hz to 100 Hz, multiply by approximately 1.75. Thus,
AT-7V is 12.25 CU @ 100 Hz
Nagaoka MP-110 is 10.5 CU @ 100 Hz
Nagaoka MP-200 is 12.6 CU @ 100 Hz
The acceptable range for resonant frequency is 7-12 Hz, with 8-11 Hz being preferred.
While I agree that the AT-150mlx would not be an ideal match for the FR-54, it is priced well above the OP's nominated budget so it's a moot point for purposes of this discussion.
To the OP, here's some MM's and high-output MC's that will mate well with your 'arm and are within your budget that should be on your list:
Denon DL-110
Audio Technica AT-440mla
Audio Technica AT-7V
Clearaudio Concept V2
Sumiko Pearl
Nagaoka MP-110
Nagaoka MP-150
If I was shopping for a MM/HOMC in this price range, the DL-110 would be at or near the top of my list.
Sounds like the moving coil that it is.