I have been doing a number of things. 236+K and 2369+K are both obvious and known follow-ups midscreen...
I've found myself just walking forward and then doing 6HS when they wake up, so that it will cross them up and I can follow with either 236+HS or 236+S, depending on if the first will wiff or not (will wiff on Sol, for example). It's typically possible to hitconfirm off of the raw hit due to the amount of hitstun and larger-than-normal cancel window.
Another option is dashing immediately, walking forward a bit, and then trying 98,1+K on the way down to fake the jump itself. On many characters you can easily get J.K, 5K, 5HS(1), 2HS xx 236+P (or K) [neither Task will combo, but it applies decent pressure for cancelling the slow 2HS)