Pitt will be tough to get into your price range. In recent years, CS majors have gotten very little merit. The school seems to believe that CS is capacity constrained enough overall that they don’t need to entice students – they will fill with qualified students without offering merit.
That said, it’s still worth the application. It’s a pretty easy app, there is typically a code to waive the fee, and if you apply early you can get an answer in September. I just wanted to set expectations.