There isn't a way to do that in turbotax. If you have access to a full-featured PDF program, you could save your return to PDF and make any redactions manually. Or, you could print a copy, make redactions with a black marker, and send a scan or photo to the manager. Or, even print a copy and cut off the top of each page with your name and SSN on it (as long as your print out is single-sided so you don't cut off anything important on the back.
