More and more physicians today are employed by large systems, medical groups, payor organizations and other management groups. What that means is this... searching for a nonclinical job is a challenge. Yes, it is, but it's not an insurmountable one.
You probably do have recruited regularly calling you, but they are medical recruiters, not executive recruiters. No help there. And if you do contact executive recruiters, and your CV is exclusively a listing of medical education, reticency and practice... again no help.
Assuming you don't need or want a nonclinical job in the truly short term, your best strategy for change is to begin establishing a networking process that exposes you to that new "nonclinical arena" you wish to enter.
No matter what your nonclinical career objectives are, a group, organization, seminar or conference exists dedicated to people in that career. And, let me repeat this to be clear. You want to be in a group of people actually doing what you want to be doing. If you're interested in environmental cases, look for environmental groups, pharmacovigilance.... they have meetings, population health, go to population health meetings....
Visit those groups, look for how you do or can fit in. Start to draft your personal position paper discussing how you could benefit this group, cause, career path, etc. And when you can present a clear case for why you have value to that career, then you change your conversation to your stump speech, and you begin looking for real opportunities.
This isn't a quick fix. Depending on your schedule and the availability of meeting opportunities, it can easily be a 12-24 month strategy. However, by meeting people, you are building a network. By applying online for jobs... all you're doing is rolling the dice. And with dice, the house always wins - not you.