"to have an email account that doesn't change"
Register your domain, most registrar will also offer a service to send your email to a different address, and it won't cost you more than $10-20 per year.
You get far better personalized email addresses which are not subject to any changes the fee provider could apply, and are also usable on systems which refuses free email addresses - some start to do it.
If you're too cheap for that, well, keep on feeding the Moloch...