I know how you are feeling, My oldest had colic, she cried for 3 months,
First take her to the DR. Make sure the DR. Knows.
I switched My daughter to Lactose-free formula. that helped alot, but I recommend SOY formula, It is better for babies digestive system, (Soy milk is better for us too).
Her little belly probably cant handle the milk in regular formula, and as for the constapation, it probably is the Iron in the formula, Soy formula will help with the constapation too. You May want to use READY TO FEED FORMULA, It is all mixed for you, and it is thicker, It is a little more expencive, but it is a god sent to colic babies, (her belly may not like your water)
Another thing I did with my Daughter is, Someone told me to put her on her stomache. I did and It made a world of difference, I took everything out of her crib and layed her on her tummy and kept watching her, it was a miracle. Still today she sleeps on her stomache, she is 8yrs old,
As for the hiccups and throwing up, she may be drinking too fast, Use Playtex Nursers, they are wonderful, ya they are a pain in the butt, but it helps.
I think Just switching her to Soy formula, you may see a world of difference,
I know what you are going thru, I feel for you, it will get better. Send me and email if you want, ____@____.com
take care and God Bless, S.