Yep...20in will most definately give you an uncomfortable ride over potholes and I really don't think with that size wheel you will benefit much from tyre type unless you have runflats on and switch away from them, and even then, the ride will be harsh. Mine are 19s, and even when I hit a pothole, I cringe. If I have to mount the kerb for some reason it feels like I don't have any tyres on the wheel !!!
I switched to the PS4 from the Contis when the tyres need replacing and they defnately feel more comfortable in the way of feel on the road plus reduce the crabbing.