Well not to get off topic but yes, some medical care is overinflated but think of it like this... an average MRI machine costs $3 million dollars and you must provide a special suite for the machine. That can cost up to half a million. That doesn't include the technicians that must operate the machinery, the cost of the dye (if the exam is ordered with dye), etc. At $2,000 a pop, you have to do a minimum of 1500 MRIs to recoup the cost. Most MRIs take about an hour and the techs, unless you are at a trauma center, are only on site for about eight-ten hrs per day. That means the hospital could probably pay for an MRI machine in a year's time but you have to factor in the cost of repairs and maintenance too, which I'm sure cost a pretty penny.
Sure, the American health care system needs a serious overhaul, mostly because physicians are pressured into providing futile end of life care or ordering needless labwork and diagnostic imaging because patients saw this or that on the internet.
But back to the topic- there is no way to speed up the recovery process. You can use ice or heat for comfort. Motrin or Aleve will help with pain and inflammation if taken reguarly for a few days. Rotator cuffs are not something you want to mess with as it is a very fragile thing. Please rest and allow time for healing. Speedy recovery!