Suspectibility to turbulence is directly related to wing loading. Low WL = you get chucked around more.
The stall speed is also largely related to wing loading. If you want a low Vs, then (setting aside some drastic measures like leading edge slats) you will have a low WL.
And, given that one is always power (i.e. acceleration) limited, the only way to get a short field performance is to have a low Vs.
So, all the "slow", short field capable, etc, types will get chucked around.
If you want a firm ride, you need to go for a plane which has a higher Vs. I don't recall the Vs of a PA28 (50kt?) but my TB20 has a Vs of 60kt which is just 1kt below the maximum allowed for a single engine plane. And it has a higher WL than most types with the same Vs. And it has a very good ride; nobody I know of has ever been sick in one.
This is one of many compromises...