I dont know if you've ever played The Forest, but that game had what I think is a perfect solution for large items: you could only carry 2 or 3 logs in your hands, but there was a fairly easy to build sled that you could use to move like 12 logs at a time.
Another form of this that I've seen in some TerraFirmaCraft servers before, is: severe weight limit for inventory. Unless you put items into a chest or a barrel, and then strapped that container to your back, you could only carry like a stack or two of ore.