Miscarriage ER Bill

Two weeks ago my wife miscarried at home but was in severe pain, so I rushed her to the ER because she is O- and needed a Rogham shot. They did some lab work, two ultra sounds, an IV, and have her the Rogham shot. 2 weeks later we get the bill for $4,700. She was coded as a level 5 ED, which it is my understanding that is the highest level (think trauma, etc.)

The hospital is Memorial Hermann in Houston, Texas and does not have a reputation for lowering their bills. How can I approach this with the billing department? Has anyone else had a similar experience? My deductible is 6K so everything comes out of pocket. I realize we used a service but $4,700 seems excessive.