High output MC cartridges

It makes no sense to replace MI with any HOMC, only if you want to downgrade with your cartridge sound quality. Even LOMC has much higher moving mass than any MI, but with HOMC everything is worst. Watch SoundSmith lecture, he will explain why (after 23:00 timeline)

Another MI or MM or at least LOMC

chakster is absolutely right. High Output MCs have to have a large coil structure to produce the output leading to a high mass situation. Not good for something that has to move very fast. A good moving iron cartridge has perhaps the lowest moving mass of all resulting in instant transient response. Get a Grado Ref 2 or a Soundsmith Zephyr 2. If you have the urge to go MC then get yourself a little tube phonostage and do it right.

LOMC not always have bigger mass. In case of cantileverless or front coil design this mass can be very low either. As there is no cantilever - in theory it's faster than standard MI (should be the same transient response as Decca).

HOMC if to look only into mass yes it's worse than MI. 

although for my ears it's comparable to MI. 

I think there is only one reason people buying HOMC cartridges, the reason is the phono stage that can’t handle LOMC.

But if they got a decent MM phono stage to handle MI then a decent SUT (or headamp) will help to handle some decent LOMC with the same phono stage.

Instead of any HOMC i would recommend to try some killer vintage MM or MI with superb cantilevers and best stylus profile.