Interesting combination. Irrespective of job opportunities, you definitely pursue both majors. You never know where those skills will take you. I also double majored in two disparate areas: creative writing and an interdisciplinary major that combined politics, philosophy and economics. I do AI research now focusing on natural language problems.
If you haven't already, talk to professors in both departments and see if they have any interesting on interesting research that combines both fields.
Also this is not quite chemistry, but there is interesting work at the intersection of linguistics and genetics. A common problem in genetic research is finding longest recurring substrings in a gene expression. The EdX class I linked below walk through the some of the data science challenges in that space. So there is some interesting research around seeing there is an underlying grammar to genetics that can be used to both parse and predict new sequences to solve a wide variety of challenges in the genetic research. This is a space that is outside my realm of expertise but I included a few resources in the next steps section that might be intriguing. Good luck!
This professional recommends the following next steps: