... > 236236K > jc.2MK~2MK > j.236HK
... > 236236K > jc, delay j.MP(1) > [2]8HK/236HK
... > 236236K > sjc.2MK delay 2MK, j.HP~HP
Given how common it is for Chun to confirm into 236KK, it's relatively easy to extend that into more damage. Unfortunately for Chun, common juggles that work into her lvl1 or lvl3 don't actually juggle into her lvl2, meaning she'll have to spend Drive to get this unless cancelled directly from a normal. Alongside 236KK, it's easy to link this super after [2]8KK, although doing so will limit her follow-up options afterwards.
Chun can opt to spend more meter to secure a KO after 236236K by using her air lvl1 after stomps or landing and using the ground version, but keep in mind that spending 3 meter on CA will take more Drive meter from the opponent and deal slightly more damage. Lvl2 > lvl1 takes the same amount of Drive meter via supers as a normal level 3 but looks way cooler while doing so.