I have used email lists to circumvent email limits even on the same host but.
You may consider Mindraven for hosting since. It is stated in the following post:
https://www.ubbcentral.com/forums/ubbthreads.php/topics/239387/Emails_per_hour.html#Post239387

Then you could just use the ubb control panel and eliminate any extra steps.

Blue Man Group
There is no such thing as stupid questions. Just stupid answers