Suppose I am a particular person who maintains a clean and orderly residence. I have a sign inside my front door asking visitors to put booties over their shoes before entry. Now some LEOs show up with a search warrant for the residence. Is there any obligation for them to respect my property and order? For example, it would not hinder their search to wear booties over their shoes while indoors. Or to wear gloves while rifling through my drawers. It might take some extra time, but if they were respectful they could carefully remove the contents and return them in substantially the same order as originally found.
What I have heard is that the reality is agents are usually careless, and often abusive in executing searches: E.g., they don't just look through drawers, but if they're in a foul mood they dump their contents on the floor and then stomp through them. They may even use this to threaten the occupants: e.g., "Tell us where X is or we'll make this messy." The only legal requirement I am aware of is that they "reasonably" secure the premises before leaving, meaning that if they broke down an exterior door or window they have to board it up.
One real-world example I recently reviewed was featured in Wired: An interagency task force with a no-knock warrant broke down an unlocked door and, before they were done, thought it amusing to leave a dildo they found propped conspicuously on a bed.
In practice are there any restraints on such misbehavior in the execution of warranted searches? Are there routine remedies for damage incurred in the course of a search? And do any remedies exist for non-material damages – e.g., insult to the dignity or property searched as suggested at the beginning of this question?