In reply to olddirtydoggy:
I don't think the direction matters too much, other than you may not want to do the Askival Pinnacle in descent, but you can take the normal bypass route on the E side instead. That's assuming of course you want to go out to Hallival, rather than returning by Beinn nan Stac, which is a more logical circuit! If you go out to Hallival, you have a choice of returning to the bothy via Bealach an Oir, or else via the Kinloch-Dibidil path.