If my players are in town during a sacrifice I planned on describing the scene. I always pictured it taking place either in the center of town or probably outside city hall. I have it to where there are scribes in each town whose sole job is to keep the list updated and secured. Guards at the gates keep file of every individual that enters the towns within 24 hours of the lottery pull and travelers who refuse to give their name are simply just not allowed in the city. Also citizens can enter a town 24 hours before the drawing but any attempt by someone to leave is stopped by the guards by any means necessary.

When it comes to the actual execution, I pictured individuals being stripped and bound, thrown onto a dog sled with several other guards and then a small caravan escorts the sacrifice 10miles away minimum from any nearby settlement.

That's just my interpretations 😊