I understand the point about a game dragging on, but patience is part of the strategy of the game. If an opponent is outnumbered by a large margin, but the last few pieces cannot be taken, then maybe the presumably "weaker" party has earned a draw.
Regarding not dragging out games, here is a question for the developers. How about an option to offer a draw and an option to offer a surrender? If two opponents are pretty evenly matched, or if a game turns into "I stay on my squares and you on yours", then a draw may be accurate. (I know some people are not fond of draws, but a draw really is an honorable option in many sports and games, including chess, which has an obvious connection to Archon, and soccer, which is the most popular sport on the planet.) Similarly, if one party is getting solidly pounded, there may not be any need to extend the pain.
Actually, it may be worth thinking about the option to agree on starting sudden death, too. That would allow breaking ties for players who don't like them.
No need to force these concepts on the AI, I think. Having recently played the C64 AI, I can say you've done a great job to make the game challenging and still more fun than the rather defensive C64 AI. An AI aware of the option to offer a draw might pester you to no end or it may give up too early in your really good games
