At Simple2Advertise, we have gone through many different email service providers.
When dealing with advertisements, it is very difficult to get and keep your mailing accounts in good order. Inevitably people will mark your messages as spam, and when enough of this happens, you will get banned from the service.
Let's list all of the mailing services that have banned me or one of my clients for sending business opportunity emails:
aweber, getresponse, mandrill, mailjet, mailgun, sendgrid, sparkpost, amazonses, postmark, and others.
Most of these services are clear that they do not allow any kind of 'make money' or business opportunity emails to be sent. You will want to be sure to read all of the rules and be quick to have a backup plan in case you get banned from one.
Here is a list that I will keep updated which includes all of the SMTP mailing services that I know about.
Amazon SES http://aws.amazon.com
Server SMTP https://serversmtp.com/
If you know of other services that I have missed here, please post them in the comments below.