Most hosting services consider the email part as an additional, secondary function for hosting a web site. Some will provide almost unlimited email addresses in order to sell their hosting services. I was actually a bit surprised that MacHighway offered an email only option. <
Namecheap >not only has
personal domain registrations, but they also offer
private email accounts (1 mailbox: ~$10/yr). The trick is to search for something like "email only" services. Domain name registration is not what most companies do for profit, email probably isn't either. Of course, you're already paying for iCloud (with a couple of aliases possible) and who ever your ISP is provides at least one mailbox.