I love my Salsa Woodchippers but they have a ton of flare, probably too much for a dedicated road bike. The Salsa Cowchippers are in-between Woodchippers and regular road bars and would probably be a good fit.
The flare would not cause handling issues unless it causes a fit problem. The Woodchippers are so wide in the drops that a shorter stem is usually preferred to account for the reach. Most people set up Woodchippers to be used mainly in the drops so that means a tall headtube (spacers) or an upright stem. I ride 80% drops, 17% hoods and almost never on the tops.