Bad back and bad shoulder?

Nope, there is absolutely no benefit to an non-wheeled bag. Bags without wheels suck even for the healthiest traveler. I guess some people think they look more stylish or something, but that seems silly to me. You can get wheeled bags that look good or bad. But the same goes for non-wheeled bags; some of them look good and some don't.

Getting a non-wheeled bag and a separate cart is just adding hassle. You will never want to use the bag for anything without the wheels, so you might as well get the wheels built-in permanently.