You probably don’t want to hear this, but sequencing the MnM from an Octatrack is good.

On the MnM, adjusting attack values per step can “delay” a note slightly, which is kind of close to what you are asking. Maybe a one-shot volume LFO affecting VOL, with appropriate values to delay the onset of the actual sound slightly? Of course, both these are a bit dodgy with sounds with a distinct attack phase. Drum hits come to mind first.

Maybe you could use an effects track set to 100% wet to delay sounds slightly?

Besides these, I think achieving the human feel is more a matter of turning to things besides microtiming… P-locking various parameters.