I know that you mentioned the version earlier but I missed it somehow. This is not an option in the version of eCart that you have. You can create a checkout page and go to the eCart insert bar and select 'checkout form'. This will add in a form to collect the details from the user.
Next you will apply Universal Email to the page to have the email sent. When you get to the body of the message you should craft it with DW, put in labels for the info that will be shown and then use the bindings to drag and drop the values for the checkout form into the message where you would like to see them. In the body of the email you will also want to insert a cart display manager, make sure to choose the email friendly cart option for this.
This is the basics, but there will be no transaction occurring, just the checkout page, and the email being sent. You can make a thank you page to send the user to immediately afterwards to let them know the order has been placed.