Mine is the same size motor as yours I will look up the values I have, and I used a contactor with a 230vac coil so no control transformer was needed, with PB start.
I have a previous link to mine and it references the metalworking drop box. see the FRW* files.
http://metalworking.com/dropbox/_1998_retired_files/
Your start capacitor can be start type but the tuning need to be motor-run style.
Al.