He's been helping Gondor's Vengeance out.
If he survived that, it would have come down to that Hillman
why not use one of the zillion other huntbreaks in MT?
The last time we killed Dwain [http://logs.dyndns.dk/viewer.php/7170] he tried to use the MT Citadel as a huntbreak. So that might have been where he was going this time.
Was he trying to run to the oven or is he just running for the sake of running about?