I'm not at all familiar with Arkansas, but if those little hospitals aren't affiliated, they soon will be. And they almost must have affiliations for some services, such as radiology. They can't perform all the necessary functions on their own. Even a simple contractual arrangement in an area such as that means that you end up doing as the big boys do, not as you might if left entirely to your own devices.
We were specifically speaking of prescriptions, of course. If you are acquainted with the staff pharmacist at a small hospital, ask how decisions are made on the drugs to be purchased. Small hospitals tend to be in areas where the elderly are much of the patient load, and you will find Medicare driving much of the prescribing--the same as at large hospitals. Staff doctors may have input, but I bet you will find that a lot of the drug decisions are more or less out of the hands of the local folk, and they will be following the same practices as those at larger institutions.