Look, let's think about this.
Captain America is stronger than Wolverine when Wolvie has no healing factor. That is a fact. Cap doesn't need his shield if Wolvie doesn't have his claws anyway, so that's one more category down.
If the Captain were to dsiable Wolverine in some way, Wolverine could NOT heal back against it. That instantly takes him down a notch in durability. The Captain only has to worry about Logan's martial arts, and he is just the same in fighting skills. Plus, he is more controlled and doesn't lose temper straight off.
Steve wins.