I just installed a set of Continental tires (42-635) on my 28” Raleigh Tourist rims. They were installed using just my hands without much trouble which worries me a bit. The bike had the factory original tires and tubes that appear to have never been removed. I reinstalled those to check fit and they assemble in exactly the same way (just need me hands). The bead relief in the rim does look quite deep (I wish my motorcycles were as deep!).
I read all the size info on the various sites and believe these tires to be OK size-wise. It sure would be nice to hear that others have had similar fitment experience and not have the tire blow off 30 miles from home …..on a steep downhill….in heavy traffic…..in the rain .