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All our friend Sheddy needs to be good is base 1 HP instead of fixed 1 HP. With base 1 HP and 30 IVs it gets an stat of 31 at level 100, meaning it can take sr damage a couple of times, sandstorm, toxic, and all that.
I calculated the other day a number that maximized the turns Sheddy could be kept alive taking only residual damage with base 1HP, but I don't remember and I'm too lazy to do it again. Thing is, base 1 HP Sheddy would be legit, as Sneaky Pebbles, Status and Weather dont mean insta death.