I would suggest that people go back and review 1666 and London. The London crowd did not have a central hospital or pick-up point. They operated a dead body cart and totted folks off to the local cemetery. Quarantine? You were directed to stay at your house, and someone would mind the property to ensure you stayed. Local Lords would appoint the guards, and you had responsibility ensure the people got some essential food. For most part....you got the plague and died, and everyone in the family at that residence went through the same situation. These houses were for the most part, not occupied for years after the episode.
The city burned that same year. I assume the fire ended the plague.