Quoting Redneck mamma:" I use nutragena oil free moisturizer for combination skin. I would like to say it works pretty good as long as I use it properly but I am no skin care person lol."
What I would suggest for you would be to try a different product, it could just be that brand. Actually, shaving cream is an extremely neutral cleanser. It brings the skin back to it's normal pH. Residue can block sebum production causing superficial dryness. So can make up, If you smoke, Environmental conditions, Medication, Not cleaning your make up well enough out of the creases or using a silicone based primer beforehand, Too much Salicylic acid. All can cause surface dryness in an oily skin.