Edyta Sitar mixes the two often with stunning results. Many of her designs uses both.
Here is a video of her talking about her designs and why she incorporates both:
https://www.youtube.com/watch?v=r25NJ5nBYJw
I was fortunate to take two classes with her a few years ago and loved her style of using both. I don't always mix batiks and prints but also do not hesitate to use them together - results so far have been good.