If you aren't explicitly trying to turbo deplete linoleic acid, then just play the long game with your standard peaty diet, which is of course high dairy of all sorts.
Discussion
My personality generally does better with less extreme, expect with peating I have seen the benefits of locking down for a short period of time to make things much easier in the long run
For example the way I adjusted to using carbs for fuel was by going very low fat and even low protein during the day for almost a month and this helped immensely.
So considering this rapid linoleum acid depletion protocol for long run benefits!