Actually had to ask Rick the same thing myself because of my current host limiting more than the OP.
Rick informed me there is no limit
We do not pose a specific limit on emails sent per hour and handle on a case by case basis. As long as the emails are being sent out for legit reasons and not spam, no way to opt out, etc. then you can send as many as needed. If we receive a spam complaint then we'd contact you as a followup to the complaint.
This was what I needed to hear. I have asked a few follow up questions and will likely be moving over this month myself as well.
After 7 years with my previous host I now find myself doing much more with my site and they just are not cutting it.
