I like your version a lot Wee-Ginga-Yin. It sounds good that slow with your bluesy voice. I haven't heard Dean's version and usually associate this song with Billie Holiday.
The first song I ever played in performance with the ukulele was this one. Maggie and I did it as a partner song with Five Foot Two, which uses the same changes, at Toronto's Corktown Ukulele Jam about 15 years ago. Maggie sang Five Foot Two, then I sang Please Don't Talk... and then we sang them together.
We often do this in The Maple Leaf Champions Jug Band as well.