email distributing from Access

My company wants to start sending out an HTML e-newsletter. The idea is to
get the Access database online (approx. 10,000 accounts). We would have to
put the database on our external web server and then the office would
synchronize the office database with the web server database at night. The
database would have a field for each user that would track whether they were
subscribed to the newsletter or not. Users would have an account they could
log into from the website (ODBC connection).

I'd want the newsletter to have subscribe/unsubscribe capability like a
listserv.

Can someone suggest a program that could interact with my Access database to
mail out the list? Or maybe point me in a direction to help with my research
on list servs with Access and/or database synchronization? My company is a
non-profit, so funding is VERY limited.

Thanks, Amanda