I would say from the images presented thus far that this is NOT Shagbark Hickory, as suggested by others on the other thread. Carya ovata will have longitudinal strips of bark (up and down the trunk) peeling away at each end - on trees of the size you've shown. Your tree does not exhibit this trait.
I still say: take more pictures of key parts of your tree. It appears to be quite healthy, and you are able to reach branches, twigs, leaves, and buds. Prune off one or several, and lay them down where you can take exhaustive definitive images. I noted in my previous post that differences are often subtle, and you won't make out those traits from twenty paces.