Startmail.com puts your privacy first, with excellent encryption ... and Countermail.com doesn't even have hard-drives in their servers, no record at all of any of your e-mails.  Both are based in Europe, which has much better privacy laws.  Both accept debit and credit cards.  I recommend against creating an "auto-pay" Pay-Pal account to pay them though, they have proven to be mercenary.  I had to close a debit card account, just to get Pay-Pal's grubby mitts out of it.  Processing a "one-time" debit or credit card payment through Pay-Pal is safe.
Only the "free" e-mail services have similar risks as Yahoo, as they have to data-mine your account, to be able to charge advertisers.  I pay Countermail.com 60 bucks per year, and it has been worth every penny.