City population needed to sustain a psychiatrist

This is surprisingly something that I haven't found much information on when I've searched. What do you think would be the average population of a city required to sustain a FT clinic based psychiatrist opening up a private practice? I ideally plan to live in the rural western states (idaho, montana, oregon, washington). By rural I mean towns with less than 100,000 population. Do you think this would be feasible to do without having to do a mix of clinic + telepsych? Thank you.
Source: Student Doctor Network - Category: Universities & Medical Training Authors: Tags: Psychiatry Source Type: forums