The Screen Reader is rendered as a plugin and not as a module, so it's not possible to use a template position to show the toolbar in a specific position of your template.
However it uses css selectors to chose the target element to which the toolbar will be appended to, so you can take advantage of this system to show the toolbar in a specific location of your pages.

By default it's appended to the root html element using a fixed positionment, you can change the following settings to append the toolbar to a specific element using a relative positionment: