See if you can get your hands on a book by an old school pediatrician called...Every Child Should Have a Chance, by Dr. Leila Denmark (I believe she’s still living but not practicing, however, she had the title of being the world’s oldest and longest practicing pediatrician at one time.) My kid is grown now, my copy long since given away, but it helped me immensely when my son was small...he was a screamer too.
How interesting that you mentioned Dr. Denmark! I live in the town she does. At last report, she is fine. I ran into her daughter in a store a couple of years ago. That lady is quite a legend!
I meant to add that my daughter was breast-fed, too. Breastfeeding is so important, even with the crises along the way. La Leche League was my lifeline back in the day.