Carts do what they do. Ive hauled one through the forest and swamp, and even the plains but if you want to do that, you have the tools to make a road first! You also have the foods and potions to buff stamina so you can run up steeper grades or boost over small obstacles.
How do you flip the thing over on a smooth road? Ive only had one flip, and it was due to a log-troll hit.