I have a '63 727 that I am going to put behind a 440, and it is basically the same transmission. I don't think there were any changes to the 727 from 62-63 except a beefed up version for the 300J.

'64 Sport Fury, 528 Hemi, FiTech EFI, 4-speed, 4.10 Dana 60
'57 Belvedere 2dr sedan, current project in process
'19 Cherokee Trail Hawk Elite
'03 Ram 2500 CTD HO, 6-speed 214,000 miles and still going strong