Luke here is going to be checking for either easily visible candies or hiding places that are easier to get in and out of; he'll climb trees and other structures to look, for example, but won't risk life or limb to gather anything. He'll be all over the tower all six days--not searching every floor though--during the day mostly.

If he can, he'll be hoarding some or all of his candy in his mailbox.

He might steal a few candies if he sees the opportunity, but won't make it a habit, unless all of his candy disappears or something.