Wow, this seems a little crazy. I work in outpatient Psych so our duties are a bit different (e.g. we just do injections, not anything crazy like post-op or sedation). Will say that we have about 8 docs (some part-time), and we have many of the same obligations:refills, PARS, phone calls, emails from providers. On a bad day we get 30-40 calls a day (and maybe they are a bit worse b/c they are Psych related and require lengthy conversations and follow up?).
The only way this chaos works is that we have two MAs and one RN. MAs can pretty much do everything that RNs can do other than dealing with Scheduled meds...and they are of course uncomfortable dealing with difficult clinical scenarios.
Don't know if that feedback is of much help since Psych is very different from your setting...but will offer my sympathy and say that you do the best you can (and find another job if it’s too stressful after a time). We were understaffed for awhile at my job and it was horrific. People like to think out patient is easy, but it can be just as crazy and chaotic as inpatient.