HI, and welcome!
She sounds like a normal active, SMART 3yo to me. It is possible she is gifted, and it is also possible she has ADHD, but at her age a diagnosis is hard to get, because it is almost impossible to diagnose in a kid that age. There are so many variations of normal.
I would wait, as long as she isn't a danger to herself or others,
A child may HAVE ADHD, but it is not what they ARE. Never tell a child they ARE ADHD.
DD is now 21, a parent herself and getting as good as she gave...LOL!
As far as the early years, we did ALOT of playing outside, climbing , jumping, running. She started Ballet and gymnastics at 3, Tball at 3, and softball at 4. Once she started kindergarten she was somewhat calmer, but it wasn't until she was older that she really turned the corner so to speak.
I hear ya when you wonder how we survived with our sanity - I don't know either and like I have said here before - you couldn't pay me to re=live those years - but today ds is 22 and is doing great in college and is finally catching up to his age - LOL
That probably was a little harsh - we had some wonderful, wonderful times but school just about killed me
I kept him active just like you did with your daughter - that does help - if it wasn't one practise it was another.
It's...she's 3, it's seriously hard to tell at that age, with that symptom list. It doesn't scream "ADHD" at me. You asked sensory vs. ADHD--be aware that many ADHD kids have sensory issues, so it's not one or the other.
It could be worth reading a book about ADHD parenting techniques, they might help & are great with all kids. Many are things you'll already have seen in any good parenting book, likely.
Biggest thing we did at age 3 was teach him to calm himself down. Then, we used deep breaths--really deep ones, count to 3. You model with the child. Worked great with my ADHD kid, my younger one can't manage it for some reason (he's 9, it's not an age thing). But find what works for your kid for that, it's an invaluable skill & sounds like she needs it!
Not sure if you've tried it (probably have!) but what worked for teaching quiet voice with us was making the kids repeat their loud words over in a quieter voice. Really helped them "get" it much more than "please talk quieter!"
Do you have to listen 14 hrs a day? I mean, if most of it is playing with herself at home? My younger one is a talker too & if I listened to him play with his playmobils & army men, I'd lose my brain (even at age 9, let alone back then!).
Oh, and I agree about the activity-helps part--very much. D'you have a swing at home, since she seems to love them?
Sounds like a neat kid--good luck!
Thanks for your suggestions.