After spending most of their time inside and only coming out with a rag across their mouth? They're in no more danger than the average Stirlandian when the wind blows from the east.
Better than I was thinking, still leaves potential active threats hitting us if we stay a day. If none come across us though doesn't seem like it's much additional impact.
Assuming six days travel if immediately going there and back, we're only increasing our exposure by 17% if we stay for a day, maybe even less since it's afternoon now and we'd be stopping soon anyway. Actual increase in risk of encounters is probably a good bit higher than that since this is a central point though.