Just post your address on a public forum...
I'm kidding. Do you want to acquire 1K addresses per day (as in create a list of email addresses) or do you want to receive 1K addresses per day (as in how to set up the infrastructure to do so)?
To receive 1K emails/day, just sign up for Google Apps (free) or, if you have some technical know-how, set up a VPS.
To acquire 1K addresses, you could either buy them (I don't know where) or you could gather them yourself. I would guess the easiest way to collect them would be through some kind of a CL.