Hello,
Do you have any domains registered with Godaddy? Godaddy offers a free email account and some forwards with domain registrations.
A first step could be to maintain a few test accounts within Godaddy and send them drafts of the planned newsletters in the days before the scheduled newsletters.
That list could be the start of a test list that is expanded to include an account or two within other popular email services such as Gmail, Yahoo, Outlook.com, and popular scrubbing services such as Postini.
Remove any email addresses from lists that bounce as "user unknown" or "unknown recipient" flavored errors.
You do not need to remove good email addresses that bounced recently due to the spam content blocks at Godaddy.
If you have the tracking, it's also good to remove inactive email addresses that are not opening the emails & clicking links.