I agree. When it comes to your or your family's health you will not go with "cheap" even if it is the same level or better service/outcome. This is why the entire system needs to first create a nice feedback loop. Right now there are no metrics on how well certain hospitals are doing that can drive patient selection.
Usually, the patient just ends up going to the specialist their primary care provider referred them to or the closest one home. Until the quality/outcome data is made public there is no hope in steering people to better hospitals/providers.
There are some attempts lately in freeing up this information but I guess only time will tell how effective they will become.
On the bright side, it will only take one good health insurance company (I am thinking more like the type of disruption that a "Virgin" like company may bring to the table) to start using this data and driving some meaningful change.