Some colleges have dedicated "ewaste bins." These are 4x4x4ft 1in thick cardboard bins dedicated for electronics recycling which sit on top of wooden pallets that are removed every few weeks by recycling companies. You want to search around your college and see if there are ewaste locations. Your best chance of finding these are near loading docks on the backsides or sides of buildings. Study the exteriors of the buildings at your university and find where they offload stuff from trucks. This is where you want to look. I have found dozens of broken monitors, broken computers, broken printers, floor polishing machines, weird large electronic devices and even test equipment from time to time.
Some colleges are real sticklers about what they do with ewaste. Others have no policy. Sometimes when you ask management / staff about ewaste recycling you will get a a generic "ewaste is handled by a 3rd party company."
My alma mater had no policy on dumpster diving. When asked, most folks didn't know. I had to find the ewaste locations myself.
Sometimes they are near "battery recycling" locations. So if you want, try asking people where you can recycle old alkaline batteries properly, this may give you a lead.
I attached some images of what these areas may look like and some stuff I found.
I have also seen ewaste bins at other universities such as Cornell and WPI. I am sure other universities have them as well.
Good luck. Keep searching. Oh, and don't forget to bring some nitrile gloves, a backpack, and a multitool