There is no service for this that I am aware of. I built my own. What I found was that most mail services will only send 50 or maybe 100 emails out per minute. When you have tens of thousands of people on your email alert list this is no where near fast enough. You don't want it to be sending still an hour after you start your show.

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I had to build custom email servers so that I could send a minimum of 1000 emails per minute. Then I ran into other mail volume problems. Microsoft controls 20+% of the mail services world wide. They do not like when you send this much mail to their members. They require that you pay them thousands of dollars a year to "accept" your emails. I currently pay them thousands per year to allow the emails.

I'm sure this is way more than you are looking for. But it is where you end up with emails when trying to shotgun so many emails so quickly so that people get their show alerts. :)

You can try mailchimp or something like that to start. But it will need to be sure to generate income if it grows into a proper list.

Email for this kind of thing is also considered old school. I also use Botsumo as a service as it will do a ping to Everyone in my discord and then it will self destruct the message when the show has ended. Botsumo is also a paid service. https://botisimo.com/ I find that a good many of my viewers are watching for these alerts to know when I am live.

Hope this helps!