Killswitch1968, are you going to cover these with a cornice or valance at the top to hide all the ugly? If so, you could simply put an AC outlet up there and plug a Hunter Douglas wall cube in for each shade. No batteries needed.
You can also put the wall cube in your central location wiring closet and feed the DC to the shade through the 16/2 you already have pre-wired. Yes, you'd need to modify connectors, but that' s a simple task.
No disrespect intended, but I find most window covering dealers have very little knowledge of motorization, and at best only barely know how to plug in the Hunter Douglas PowerRise blinds to get them working. They certainly have no imagination for making modifications to adapt. Many of the sales people just wish the subject would go away. The firm usually depends on an installer who knows a little bit more, but home automation is not something he has any grasp of. How do I know these things. Easy, we've been in the window covering business for 40 years.
When your dealer says it's battery powered, that's only half correct. It can be either battery powered or AC powered through a simple wall cube. Mine do not have batteries and they are running on AC with only Hunter products. Hunter refers to it as the "optional AC Transformer". It has the same connectors as the battery pack and the transformer simply plugs into the shade.
I'm not recommending you do any specific approach or product, I only want you to have all of the information so you can decide what makes most sense in your set up.