The funny thing is, most rads physicians would probably welcome this, as mammography is often the least preferred sub-specialty (my wife is a radiologist and feels this way, and I've encountered many radiologists with the same outlook).
Have you heard of finder.healthcare.gov? It provides more detailed information with a few basic questions. It also provides a range of premiums per hit, and most important (in my opinion) gives feedback on how likely one is to actually land the quoted premium.
The site was built by HHS, which had access to information provided by the insurance companies themselves on their acceptance rates, etc. I'm not sure why the insurance companies agreed to provide that sort of information, nor whether that information was made available to the public at large.