Armie Hammer
Disney may want to steer clear of Armie Hammer after the huge disappointment (critically and financially) that was The Lone Ranger, but the actor is on the cusp of landing a great leading role and Indy could very well be it.
Armie has similar features to a young Harrison Ford, and can hold his own in both the action and dramatic scenes. He's also been in a few period pieces, meaning he'd fit right in with the franchise's '40s aesthetic.