I am not 100% sure I completely understand the question and what are your exact goals, I have a few speculations what you might be looking for.
Are you talking about something like this AnimationState.AddAnimation, where you could add the in the queue an animation after
animationDuration - 10 * 0.01666 or something like this?
In events from spine, you could register for them and use SetAnimation directly. To register for the event you could subscribe for use this
In both cases you shall properly configure the mix duration for the animations (either for the default or each separately), as shown here
If this was not what you were looking for, you might need to elaborate further.