I haven't checked these in a loooong time, I've not been paying a lot of attention to this. But...heh...by some stroke of luck, my standings suit the character quite well.
Ché never seems to have fired upon Sanshas, even when Ché was less neutral and pacifistic. But being perfectly neutral in their eyes (as well as being largely neutral with most factions, and best relations with SSoE) does fit my character well, so I think my standings are pretty good.
I do think Ché's standings with the Legion and Syndicate should be better, and worse with Roden.