You don’t really need a self hosted app, you can write a to do the following:

1. Check if file X exists.
2. If file X does exist, delete it
3. If file X doesn’t exist, delete directory Y

Then create a new scheduled task to run the script every week.

The result is that you have a deadman switch with a weeks delay

Unless you recreate file X every week, directory Y will be deleted.

This is a very simplistic example, but it would be decently difficult to figure out.