Hi,
Its best to use Google scripts then third party scripting. Script will be attached to your account and no need to store Email and Password any where.
This will work like this,
I will create a Google spreadsheet with script.
You will keep the White list email list, DOmain name to look for and hours in one sheet.
Script will run with trigger. Which will auto run every hour.
When it triggers, it will do search and generate list of urls.
Urls can be saved in other sheet in Google sheet or text file, which will be saved into your Drive.
Additionally, a email can also be sent for the new urls captured.
Thanks