You must have checked the tyre pressures, but just for the record...
Before I got 17" cups, my C2 had the original 16" wheels - a little different to yours of course. Every time I drove away from the local tyre shop after getting the tyres changed, it felt like the wheels were falling off. The pressures were 5 PSI low. They insisted it was correct according to their charts.
Skinnier tyres on bigger wheels won't have the same flex, but it might be worth experimenting with pressures.
Before I got 17" cups, my C2 had the original 16" wheels - a little different to yours of course. Every time I drove away from the local tyre shop after getting the tyres changed, it felt like the wheels were falling off. The pressures were 5 PSI low. They insisted it was correct according to their charts.
Skinnier tyres on bigger wheels won't have the same flex, but it might be worth experimenting with pressures.