I too did almost similar. A filter in GMail labeled some important incoming mails based on my criteria. My Google App Script checked for this lable every 4 hou

I too did almost similar. A filter in GMail labeled some important incoming mails based on my criteria. My Google App Script checked for this lable every 4 hours, & if found, extracts some info, & post it as a tweet to a private account. The followed account gets a SMS notification