Custom Screen Aligned UV / Screen Aligned UV Alternatives for portals

I have a SceneCapture2D, which captures the scene every frame. The SceneCapture2D updates a render target, which is used in a material. The UVs are from the ScreenPosition:
Screenshot (76)

So far, everything is fine, the portal is rendered correctly.
The problem arises from the need to reduce the rendering frequency of the render target.
As you can imagine, when the render target is not updated, the screen space UV continues to adjust the position of the texture on the render target.

The best behavior would be to display in the portal the rendering of the last perspective of the screen aligned UV. Does anyone know how to create a custom screen aligned UV or know of more efficient portal rendering alternatives/methods that do not involve screen aligned UV?