Thanks for all the advice. I appriciate all the good ideas and the encouragment. It came in handy.
I snuck into the shop for a little bit this afternoon and took a pretty good amount off the three sides of the back legs from the seat up. It's still a pretty beefy chair, but I can live with it now. I also managed to rough in the shape for the ladder back slats.
Here are some pics - I don't know if you can tell any difference, but I can... I think I probably took about a 1/4" off the front and back and maybe just shy of that on the outsides. I think this is the way it's going to stay, but we'll see...
Thanks again!