"Does this dress make me look fat?"
You could set up a situtation in which the characters get captured and hatch an escape plan. But before they can carry it out the LG character gets asked by the guards if they have an escape plan and what is it.
That is a common problem in popular fiction when a truth-teller is around, that they must answer every question. "I don't want to answer that" is very often true, I would think.That he refuses to lie does not mean he also must answer every question put to him. His biggest tool is likely saying, "I'm not going to answer that."
When I played a LN assassin who took a similar vow, I found lies of omission to be a beautiful thing, along with the Costanza clause: "It's not a lie, if you believe it's true." So, in this case, you bring the farmer the possessions and say nothing. If pressed, you say he was a hero, as, after all, I'm sure the traitor was a hero ... to the other side.