I've crafted a timeline for the events up to the moment when the adventurers reach the ruins. Here it is:
Day 1, morning. Danakos steals the cattle and kills the herders.
Day 1, late evening. Zarah sends the runner to check what happened, and comes to know what happened after rescuing Berra.
Day 2, early morning, cloudy weather. The adventurers start the persecution.
Day 2, early evening, prospects of rain. The party reaches the Grey Dogs’ encampment*. Finds Lannike’s body. Notices Carthalo.
OPTION 1
Day 2, evening, prospects of storm. Party doesn’t contact Carthalo. May or may not bury Lannike. Resumes persecution. Storm. Party has to improvise a shelter (appropriate skill rolls).
Day 2, night, storm and heavy rain. Party has to endure an eventful night (appropriate skill rolls).
Day 3, morning, cloudy weather, light rain. Party resumes persecution, but the track is lost. Female statues.
Day 3, noon and evening, light rain. Party decides what to do. Options (whenever an option directs you to another moment in the timeline, adjust day and timing accordingly):
OPTION 1.1
Search for the track to the north. Encounter with XX, go to option 2, day 3, noon.
OPTION 1.2
Search in circles around the place where they found Lannike. May: find Carthalo and interact with him, go to option 2, day 2, evening; extend the search to the north, go to option 1.1; search to the west or northwest, go to option 1.3.
OPTION 1.3
Day 3, noon and evening, light rain. Party goes after Danako in a northwest direction, entering Lismelder’s lands. Eventually they will cross the local population. Encounter will range from hostile to neutral to (moderately) friendly, according to the way the party behaves. Sooner or later the party realizes that Danako didn’t return to his tribal lands, so he must still be in the Badlands. Party moves back.
Day 3+, <as per events>, light rain. Party returned to the Badlands and searches Danako to the north. Encounter with X, go to option 2, day 3, noon.
OPTION 2
Day 2, evening, prospects of storm. Interaction with Carthalo. Lannike’s burial. Party gets refuge from storm at Carthalo’s place.
Day 2, night, storm and heavy rain. Conversation/information exchange with Carthalo.
Day 3, morning, cloudy weather, light rain. Party resumes persecution, but the track is lost. Female statues.
Day 3, noon, light rain. Encounter with XX. Following the track of the XX allows them to regain the track of Danako’s party.
Day 3, evening, rain increases in intensity. Arrival at the ruins.
Day 3, night, or Day 4, morning, in both case mist or fog. Party enters the ruins.
* I consider a rate of movement faster than what's mentionned in the RQQS. If you don't agree with this, change timings accordingly.