I have used Kona black. It does have a heavier hand that I don't like, but it still works just fine in a quilt. One thing I noticed is that it is very "stringy". That is, when I cut it into 2.5" strips, the strips developed a lot of threads fraying along each side.
I much prefer Michael Miller's black, which is a very deep black and has a hand similar to other quilting fabrics. However, it can shrink a lot, so it is a good idea to prewash it and dry it before using (and purchase extra length to make up for the shrinkage).