Using the web alarm you could get email if you create a page properly (or use a publicly provided one).
However maybe we should instead ask that the numeric spinner that is used for how often to send the log (in minutes) have its max changed from the default 100 to > 1000 (perhaps even 2000). That should be a minor fix, but allows a big enough span that you could finish a cook without getting a log email, but still get the alert emails.