UseYou can use Sony - Sound Forge for precise pitch-shifting with curves if your problem is a problem with the tape recording speed. To note that pitch-shifting if no time-stretch is added to it doesn't significantly alter your original sound quality it will only change the tone.
Steinberg - Cubase's tool seems pretty accurate too.
Also, Ableton - Live and Bitwig have a really good and intuitive warping tool. I don't know for Bitwig but for live an auto-mode is also available with different algorithms.
Now it's a question of work method, needs and tastes.