I have the same probs, yesterday I sent out around 1200 newsletters, but on most occasions my paid for hosting lets it go, sometimes they get queued but they go after a couple of hours at most.
you might wan to have a look at something like this
http://www.campaignmonitor.com/
theres alot of companies that do the same and their freebie limits might be enough to cover you
Google has limits but on occasions when I have used them I havent been stopped.
this is what they say about "bulk" emails:
n an effort to fight spam and prevent abuse, Google will temporarily disable your account if you send messages to more than 500 recipients or if you send a large number of undeliverable messages. If you use a POP1 or IMAP2 client (Microsoft Outlook or Apple Mail, e.g.), you may only send a message to 100 people at a time. Your account should be re-enabled within 24 hours.
If you communicate with the same group of people on a regular basis, you might be interested in Google Groups.
Learn even more ways Google products work together.
If you send a large number of undeliverable messages, we suggest verifying your contacts' email addresses. It's also important that everyone you are sending mail to is willing to receive it.
Learn more about best practices for sending a large amount of mail through Gmail.