It's not really whether the doctor will "accept your insurance". Doctors will "accept", i.e. bill, any insurance, but if your insurance company doesn't consider that doctor in-network, it will just not pay and you're stuck with a nice medical bankruptcy.

In my area (suburban CA, not particularly in the middle of nowhere), nearly all the doctors that are in-network are not accepting new patients. The one I found that had that magical overlap of "accepting new patients" and "in-network" has a 6-12 month waiting period for new patients. Hope I don't get sick!