Aside from stylus profiles - a book in itself! - setting up accurately, especially rotational alignment when viewed straight ahead, will be important. As to different models, those with a smooth frequency response will definitely be less susceptible. Not many MCs avoid a quite peaky or elevated hf, which highlights unwanted noise. Higher tracking weights can help, by ploughing debris out of the way rather than riding over it.
Older Ortofons I remember being quite smooth, and a Denon MC, not the famous 103 but a highish compliance DL303 I once had, was pretty immune too. My current modest Grado is pretty good for quietness, though that has a droopy top end a bit like turning the treble control down a bit.
Away from the cartridge itself, a phono stage matched well and with a high overload margin (tricky spec to discover) is important too, so peaks don't clip the input side.