I found a service Amazon offer that allows you to send large amounts of newsletters which is practically free (last time I sent them out, it only cost me ten cents):
http://aws.amazon.com/ses/#pricingIt took me 2 days to figure it out (and everyone has their way of doing it) but I went the easiest route possible. I bought some low cost software to make the interface easier, but a techie could probably do it for free. My normal mailing list of 5000 with mailchimp would cost me $800. If you are not a developer, here's one article for a regular person to figure out how to do it:
http://www.nosegraze.com/tutorial-how-to-set-up-your-blog-with-mymail-amazon-ses/