Call your local newspaper and ask if they can get you a rollend.
This is the end of a roll of newsprint after the majority of it has been printed on the press. It can be in different widths but a rollend with even a couple inches still on the core has a lot of paper on it.
If you know where there is a web press shop, dumpster diving will likely yield more than you can ever use.
As added information, a full roll can weigh a ton, be about 42" in diameter and have tens of thousands of feet of paper on it.