I have had good success on both Muleys and Blacktails using the fawn/doe bleat as well as the occasional soft grunt.
I have used them to stop deer that are running away as well.
We had a doe and a fawn run across our path some years back. My brother blew the bleat and instead of the doe and faun coming a nice jigh 2 point came barreling down the trail snorting at us. He realized he made a mistake a little too late. He veered to the right but my brother beat him to it and dropped him in his tracks. All told, it was about 7 yds. from his feet to his deer.
That alone sold me on the use of the bleat call. Give it a try, nothing to lose, everything to gain.