Yeah, you'll just have to stick to one side if you have to walk. The bridge is fairly wide though, there's plenty of room for cars to go by (they have to go single file, so you won't have to worry about cars trying to pass each other either). Depending on when you go there won't be many drivers anyways (its basically just farms and a bird sanctuary on the other side).

Edit: and with 28s I wouldn't worry too much about the wood either. Just be careful if its wet, which at this time of year is likely