Not a bad idea. "Faculty" is somewhat loosely defined though. Do you mean traditional university types of faculty jobs (teaching primary), research-oriented positions at R1s, or clinical faculty jobs?
In my experience, there is a somewhat predictable application pattern for the teaching-oriented positions and also for the research jobs (generally) following the academic year or grant cycles. However, clinical faculty jobs seem to be open year-round and the hangup is generally more in credentialing.