I can't speak for psychiatrists, but for psychologists based on what I've heard and occasionally seen, these jobs are typically anathema. Basically, excessive workload demands in exchange for below-average compensation and, at times, expectations or encouragement to practice outside one's scope (e.g., asking psychologists to make specific recommendations about medication type and dose). Based on that, I wouldn't expect psychiatry jobs to be much better, if the NH is even willing to work with a psychiatrist instead of a PCP.
Which is a shame, because there's a significant need for good MH care (pharmacological and non) in the NH population, and particularly as you move into ALFs, SNFs, and memory care facilities.