So the following solution appears to work. We can expose the Play Rate and Start Position (optional) and set them both to 0. We also bind an OnUpdate function that we can use to adjust where in the sequence we want to position our pose for the frame.
The image above shows the Play Rate and Start Position set to 0. This means that the animation sequence will not play but will begin at position 0 as we feed it accumulated time.
In the image above, you see the OnUpdate binding we created for the Walk_Forward sequence player. It will feed the sequence time that we want. We can make this value anything within the range of the sequence itself.
This approach gives us full control over playing any portion of the sequence in any fashion for any purpose we need, all within Blueprint, and all within the Animation Graph. The Event Graph merely needs to feed the necessary value for where the sequence should pose our character for any given frame.