I would avoid wetting the wood. That will swell the wood fibres and cause damage. Too much of a good thing you know?
There's no guarantee that you can return the neck to its correct position, but hanging a weight from the middle with the neck horizontal (bow up) in a high humidity environment might just do it. For most practical purposes, that usually means someplace close to the shower in the bathroom if at all possible. Over time you should see some progress. Alternatively, a humidifier close by, perhaps under a plastic "tent" might accomplish the same thing. You want to avoid condensation though.
The idea is to raise the humidity considerably higher than the ambient room reading so that the wood will start to absorb some water vapour. Tricky to do without a controled environment. Too much can cause it to move too much the other way.