This is not easily possible with Toolset Forms, for such contact forms a contact form plugin would suit better, as they are designed for this.
However you can achieve it with Toolset as well.
You would need a few more steps though.
You need a way to tell the form, to send the email to a specific one each time depending on how the form is inserted.
One way to do so, is to populate the Email Field in the Toolset Form, to which the notification will be sent, by either a default value IN the Form, but that won't allow many users changing it, or using the URL argument to pre-populate the field.
We are going to use that, because this way each user can insert a link to the form passing another URL parameter (their email), and hence each time the notification will be sent to another mail.
To set this up, you need the Post Type and an email field for it.
Then, a Toolset Form that edits those posts, and includes the (hidden, if you want) Email Field.
Switch to the Expert mode in the Form, and make sure to insert that Email field with the URL parameter of your choice, using the GUI.
It results in something like [cred_field field='mymail' force_type='field' class='form-control' output='bootstrap' urlparam='myurlparam']
Remove other things from the form you do not want the users to edit, and leave only the field of the notification itself (post body most likely) and submit button plus the hidden email field.
Add a notification to the form, sending to the mail specified in that form field, and insert the post body or whatever used for message in the notification
Then, you can insert this form anywhere on a page, and when visiting that page with a link to the page, passing the URL parameter ?myurlparam=email-of-editor@mail.com, the form will load each time with the mail added to the myurlparam.
That will then, when the form is sent, send the email to the specific receiver passed in the URL.
So the task of the Editors would not be to insert the form (well, they can, if they want), but the most important would be, they link from somewhere to that form, passing their email in the URL parameter
Please let me know if something is unclear, in the process.
