This can be improved by implementing the "snooze" functionality of an alarm. If you're not ready to read an article when the X amount of time has elapsed, maybe allow a "snooze" the reminder to a later date.
I'd prefer it just sent me an email with all the links i've accumulated every week or two. I don't know exactly when I'll have time to read stuff but I could see myself getting into the habit of just looking back into your emails for specific articles.
I normally don't know when I'll have time to read something, I just save for 'later'. I use Pocket for that.