I was accepted to LBJ and the Bush School (no funding from LBJ, 3,000 a year from Bush). I wouldn't bother with UPittsburgh. Elliot is very competitive, but I would say LBJ is your best option outside of Washington DC. I am over the moon about being accepted there. Its definitely top 10 and is very competitive outside of Texas, not to mention Austin is an amazing place to live. I've lived here for 3 years now and visited family here on and off growing up and I absolutely love it.
All my professors treated Bush as if it wasn't even an option for me, which kind of put things into perspective for me. They know what they are talking about.