Personally, I have never used it. The Wood Data Base says Kentucky Coffee Tree has good workability characteristics as it glues stains and finishes well. It has a Janka hardness rating of 1390 and was used for fence posts . They go on to say it has an appearance & grain similar to oak or ash. As long as it's relatively straight sounds like a good wood to make a stick out of. With a Janka hardness a bit harder than a red oak or black cherry might be a little tough to carve.
Price was right though, give it a try and let us see how you get on.