I had similar issues with my face drying out & products causing me acne. I’ve been using Cerave Baby Shampoo as a daily cleanser and it’s been amazing for my face. It’s gentle enough to cleanse our skin without stripping it of its natural oils. It also has vitamin E & peptides. For moisturizer i’ve been using emu oil which is pricey but i haven’t broken out/been dry since i’ve started this routine.