Yes, the async multiplayer mode is called Skulls Anywhere. Skulls Online is a new real-time multiplayer game mode for the Bone-A-Fide edition.
I have played Skulls Anywhere since the original launch on Windows 8 and there appears to be no timeout on games. As far as I know that hasn't changed with the Bone-A-Fide edition.
Steam or email notifications would be a nice addition for the Bone-A-Fide edition as there is no notification system presently, which I discovered after playing a few Skulls Anywhere turns last evening. In the Windows 8 version I received a notification through a live tile update of the Skulls of the Shogun app and also a message in the Games app.
EDIT: Oh, and by the way, welcome!