For a while I used Hiveminder and Google Calendar to do something similar. You can email tasks like "Take out the washing [due:today]" to your Hiveminder email

For a while I used Hiveminder and Google Calendar to do something similar. You can email tasks like "Take out the washing [due:today]" to your Hiveminder email and then they show up in your Google Calendar for that day. It was very low-friction. The integration is just iCal-based, so it should work with most other calendar systems.