I bought a cheap(£150 at the time) phone 3-4 years ago called "Ulefone" where in a sense the 'case' is built in to the phone. It is marketed as a phone for handymen or outdoor functions.

It is a bit bigger with protective shell around it is bulky, but withstood all the drops that a typical phone would break. There is some flaring around the screen and camera that it prevents most of scratches. The back has some sort of hard rubber but it held up well.

I've only had to replace the screen protector within 3 years as the scuffs and marks made it difficult to see in well-lit environment.