I know this is going to sound a little off the wall, but could your little one have irritable bowel?
The spasms you describe and the timings, suggest your poor little one is going through what I have had for as long as I can remember. The pain is like colic only futher down, and beleive me it hurts!!
When I was born I had an immature stomach flap so couldnt keep anything down. Plus all sorts of problems with colic etc. The docs put my on a dairy free diet, but mum swears blind the soya did more harm than good!
It was only diagnosed eventually around 15 years ago (i am now 35) when I had every test going and nothing ever showed up for the results. My mum is sure it is because of a really bad case of spanish tummy that I had set it off, and my stomach/digestive problems i had when I was a baby
i control mine through diet, stress management and anti spasmodic medication, and after many frustrating and painful years, it is now touch wood under control.
i take it you have tried warmth to the tummy and rubbing gently anti clockwise? The only thing with a baby is that you cant tell them to relax and breath when their little tummy is doing somersaults!
If your doc is being unhelpful change them if you can.
I have no idea what they can do to help one so young, but you and your DD have my sympathy, and I hope they find what is wrong soon.