Quite a few lash their gun cases to handtrucks.
As I tell my kids: we are homo sapiens. We have brains. While other animals are big and strong and can carry much more, we rely on our brains to figure out a way to carry far more than our frail bodies can handle. We invented wheeled things to make our lives easier.
I keep a smalled foldup wheeled hand cart in my trunk. It is used at the beach, at the range, at the park, anywhere where I have to carry lots of stuff.