I used to apprehend people who committed crimes "under cover of darkness."
In my second career as a deputy sheriff I worked in the technical area. We had night vision cameras that we would set up in situations like this, obtain video and usually solve the crime.
If this were serious enough that someone really wanted to solve it, these cameras and recorders are available on the civilian market. I doubt that the local police would be willing to make an installation in a situation like this but it might be worth asking them.
This is a representative system
Night Owl STA-44 4-Channel DVR with 4 Cameras: Cameras & Camcorders : Walmart.com