To send a tracked email without the Outlook Add-in or Chrome Extension, login to your livehive.com account. There you will see "New Email" along the top row. Send an email from this window and you can track it through your account.
A second option is to send a tracked email using the LiveHive Chrome extension. Open the Chrome Extension and click on the envelope button.
The email window shown below will open and can be used to send a tracked email you compose or with a template.