Valoria
It wasn't until the sun was going down that they stopped to eat, they could have kept going but unless they ran, it would still take days before they reached Havenbrook.
They wanted to use that time to familiarize themselves back with Earth. The wilderness shielded them from the sun but exposed them to the dangers that monsters might bring.
Fortunately, most monsters ignored them. Especially the low levels ones. And since they were all suppressing their auras, their strengths couldn't be a accurately told but Belialthorn was certain they would appear as level 6 to almost all Hunters.
The system had stuck there for them.
Belialthorn used his presence to get a feel of the wilderness always and any powerful monster around avoided them, even faster since the more powerful a monster becomes, the more intelligent. They could probably have sensed that Belialthorn and his team were hiding their powers.