A dissent using a slightly altered scenario, you see a killing on a security cam, and the killer puts a knife in their briefcase on camera then you have the police stop everyone in a 2 mile radius and break into their briefcase rifle through their documents and arrest people based on the findings, you might catch the killer but you have trampled the rights of everyone in the zone. The density of the zone shouldn't matter, if it is on Wallstreet or a field in Kansas it is equally wrong. A range is not a particular place and they didn't identify the people as stated:
"[t]he right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no Warrants shall issue, but upon probable cause, supported by Oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized."
It clearly says "AND". They don't know who or what they are targeting and the 4th clearly protects that.