I have read this in the Version 1.2 Errata and FaQ:
"Q: When a large monster interrupts its movement to perform an action, does the figure have to be placed on the map in all empty spaces?
A: Yes, a large monster cannot interrupt its movement unless it can be placed on the map and all the spaces it occupies are empty spaces. "
What is considered an empty space?
A space containing a search token/ objective token is not empty, so Monsters can not sit on these items at the end of their turn, correct?
or are the tokens treated as something else? if so, then heroes should still be able to search/pickup even though the space in which they are designated is beging covered by a monster.