Truths--
I agree with your tip regarding timing of application. To me one of the major benefits of the once per day application of Carac was the ability to put it on in the evening allowing sufficient time prior to going to bed in the event you wanted to use vaseline, aquaphor, etc. after 2 or 3 hours. Also, since there was no application in the morning, you could apply these or sunscreen without having to wait.
For washing my face, I also found a very good product that was quite gentle and did not cause irritation. It is a Nivea for Men product called "Sensitive Face Wash". It contains no alcohol, soap or fragrance and did a good job of cleansing without contributing greatly to the overall dryness of the skin. I used it prior to applying Carac (waiting the indicated 20 minutes) and again in the morning. Although it is a product targeted at men, I think it would be fine for women given how gentle it is.