Spend no Supply and ignore the powers of sites if you're traveling to a site with a card.
A: Nope, just the power of the site itself. It lets you get around things like the Narrow Pass.
A: If the enemy ruler chooses that you travel to a Beast site, you pay no Supply. If you have less than 2 Supply, the enemy could either force your Travel action to fail, or could let you travel to a Beast site for free.