I am currently using Bioturm Cleansing Milk.

A YouTuber demonstrated how to cleanse blackheads and advised rolling the cleansing milk over the skin and rinsing with a water-soaked cotton pad instead of using your hands. I actually tried it, and it felt soft and effective at removing impurities. You could say it acts a bit like a water peeling device. Give it a try as a substitute for peeling gel.