My first MC,
Audio Technica AT33PTG/II, ML on boron, $50. over your budget
excellent sounding, tight channel balance and wide separation.
https://www.audio-technica.com/en-us/cartridges/type/moving-coil/at33ptg-2you can get just in your budget here
https://www.ebay.com/itm/254980772116?epid=27032781048&hash=item3b5e09d114:g:yjsAAOSwQVRebF4aMy friend had a NOS Goldring Eroica LX, no way to play MC, gave it to me, I have 3 tonearms, we can compare cartridges quite readily, it sounds excellent also, just in budget, however I think the AT fits your stated preferences.
https://www.ebay.com/itm/254804394240?hash=item3b53868100:g:Yq0AAOSwVH1f0qF5MM
I also still like the sound of my MM cartridges, Shure V15Vxmr body with a new Jico SAS stylus on Boron, and actually prefer my lightly used AT440ML ML on aluminum to it for some content, primarily it’s greater separation over the Shure. The current model is 540, here with a spare headshell, under your budget, replaceable stylus in the future, ML on aluminum
https://www.audio-technica.com/en-us/cartridges/type/moving-magnet/vm540ml-hAT has other MM that cost a bit more still in your budget to consider.