There was a sprung Quando Keith, it was the original model 1, but it was enough to make anyone seasick. A soft rubber sprung rear swing arm fork and a centre spring front fork which bottomed on harsh bumps was a poor mix, pogoing along the road in a series of leaps.
I didn't find any problem on the worst of roads on my Quando II with those original 1.95" balloon Kenda tyres, and I'm surprised you do if you have the tyres at their minimum pressure.
That's why I happily swapped to smaller section and higher pressure MP tyres. On those I feel the bumps much more, but that doesn't worry me, it's just part of cycling.
As Joe said at the outset, perhaps a Piaggio moped is the answer, and I think you'd agree that you are really more a moped rider than a cyclist, preferring to ride on power only as you do, and liking springing on a bike.
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