Raven
I see it's been a couple weeks since you posted. You've probably tried this by now and found that freezing an entire smoothie causes it to be too difficult to blend.
I use frozen fruits, a dollop of greek yogurt, a bit of frozen kale, and a splash of almond milk. I just put into a wide bottomed cup, then blend quickly with an immersion blender.
Very quick and easy and no big cleanup. All done in one container and my immersion blender cleans up so quickly, unlike those blenders you have to pour things into.
I strongly recommend an immersion blender if you don't have one. Making smoothies is so much easier.