Exactly Steve. Our neighbour does this type of work all day, every day, all year round, all over Norfolk. He has huge diesel-driven cutting machines, and like you he finds that large mounds of dog poo explode around his ears if he drives over them. He ends up covered in it, and it absolutely stinks.
He also 'does' farm grounds and smallholdings, and there are always huge snarling 'dawgs' to contend with. He wraps strips of canvas round his lower legs (like buskins or gaiters) and always has a stout stick with which to 'discourage' the animals. He says the farmers often become 'suffen savage' (rather cross) and give him 'squit' if he asks them to control their dogs while he's working!