I think it depends a bit on the shrink, but it's not cheap in general unfortunately.
Online counselling is becoming more and more of a thing now, which I believe would cost less because they don't have to charge as much to cover the office/secretaries and the like so if you are a bit strapped for cash then the one I quickly googled was 28-40 per week, with some kind of netflix style plan (Yeah this is as weird to explain as it was to read) i.e you pay a flat fee and then have unlimited access for the duration of your 'plan'
It's an alternative, but I can't really say whether it will be of any use to you or not.
In the UK a private practice appointment is something like £60 for the one nearest to me, which is about $80/90 so I'm guessing it's kind of a standard looking fee <.<