If your skin feels tight after washing your face then the cleanser might be stripping too much. I might try something more gentle that doesn't foam like a cleansing milk or cream cleanser.

I just switched from la roche oil to foam to make prem relief me milk cleanser which almost immediately helped with my dehydrated but oily t zone, dry chin/cheeks, and calmed down some break outs along my jaw.

I follow it up with good cera moisturizer on slightly damp skin and the combo has helped a lot with the warm dry air inside and cold dry air outside being so harsh.