Exceeding SMTP Quota Limit With eNewsletter


I'm using eNewsetter to send out about 100 emails to clients each day using my GoDaddy SMTP server. They limit the emails to 250 per day. After initiating CRON to send 20 of the 100 emails per hour, after about 40 are sent my quota hits the 250 limit.

I have contacted GoDaddy and they added something that would stop email spoofing, but it did not seem to fix the problem. What else could be causing the extra relays?