Possible CMPA

My poor baby 4 weeks old has been so uncomfortable, grunting, hiccups after every nursing session, her tummy is always gurgling, mucous in stools and has had some bright green stools with TONS of mucous. She spits up and has this terrible rash that i thought was baby acne (but won’t clear up) for 2 weeks! Her doctor recommended a gentle formula and we’ve been trying it but not helping at all. I just messaged the pediatrician again saying that it’s not working but he doesn’t want to diagnose CMPA without visible blood in her stool.. I just don’t want her to get to that point and be in so much pain. Any ideas??