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Do you get tired of the predictability of PF2e? Do you want to use all your shiny math rocks?
Then let me introduce you to Dice Based Proficiency!
Instead of adding that boring static Proficiency bonus you're gonna roll the dice!
Untrained: No bonus
Trained: +1d4
Expert: +1d8
Master: +1d12
Legendary: +1d20
But Dudemeister I'm scared!
Okay, fine for you weenies out there who prefer a bit more of a bell curve:
Untrained: No bonus
Trained: +1d4
Expert: +2d4
Master: +2d6
Legendary: +3d6
Will this mean more critical hits and critical fumbles?
YES!
But you only live once, why not get a bit swingy with it?
Sounds amusing.
To critique:
Are you rolling that for your Attack rolls too as well as your AC, saves, and spell DC?
If so, then that is a lot of rolling going on.
If not, then it isn't going to be completely balanced. Some things will get more of a benefit from this than others. Even if you just limit it to skill checks, attack skill checks like Grapple, Feint, and Demoralize are made against save DCs.
Similarly, I have to assume that the NPC enemies also have to be adjusted to have their static proficiency value removed from their attack bonus and AC - but they don't have their proficiency rank for attack rolls and armor proficiency listed anywhere.
Apart from your variants heavily favouring the acting party: If one wanted more variance, would it not be easier to do opposed rolls instead of using static DCs, just slightly favouring the receiving party.