A bit late with my reply, and not really helping you, but I have three sets of wheels. One wide agri, one wide grass pattern, and one narrow with aggressive agri. I change them all the time, preferring grass when I have the width and it's dry enough so they give me enough traction.
My narrow tyres are absolutely awful to use, their only advantage is enabling use of the Sherpa when you have to get through a narrow gate.
I bought a Ryobi 1/2 impact gun; it takes less than 5 minutes to swap.
Not wanting to slag off your setup, but your tyres look like the worst of all worlds: they look like they'll still churn up (wet) grass, but don't offer enough traction when it's wet. I've been amazed at how much traction, and how little damage, my grass pattern tyres make on sodden grass.