Congratulations and Hugs to you sounds exausting you poor thing.
My DS1 had reflux but nothing to extent your DD is suffering and he was medicated at 5 weeks. We also saw an osteopath which helped as well.

I think meds would be a good idea as she really needs to be pain free so she can sleep and grow, otherwise she will end up clinically tired and will be even more upset and agitated and its just a vicious circle.

Good luck with doctors.

xoxo