The economic sector may be large, but you have to be consider and prepared for the reality that the volume of competition for those positions will be very high.
As far as your decision, I weigh these things on a personalized criteria of longevity, difficulty, time, and cohesiveness. I personally disregard interest as it is a useless vector for my situation. For you, I would incorporate it. How much do you already know about the two fields of study? Which one interests you more?
Longevity. What are your goals beyond attaining an entry level position in the field? Which field provides the most carryover and support for those ambitions and their respective lifestyle? Both Chem E and CS have fairly broad scope, so this may not be super obvious from the get go.
Difficulty. From my own experience and the experiences of others, most engineering degrees seem objectively more different in terms of core content and diversity than most of the CS programs I've seen although a lot of coursework in CS definitely partitions of great deal of time commitment. Not super obvious either. It will depend ultimately upon your strengths, how much you like working with the material, and the strategies you are able to implement towards your success.
Time. Which one can you complete faster? Having one less semester is awesome. Having two less is even better. This depends on the coursework that you have already completed as well as how the departments handle pre-reqs and transfer credits. Some departments don't accept any external program credits at all. It also depends on how often certain classes are available. Maybe you will be able to take a pre-req for a course that is only give during the fall over the summer. Maybe you won't. It's dicey. Be thorough in your planning, but I'm sure I don't have to tell you. The quicker you get the degree, the quicker you can get on with your life. Spending less money is pretty great too.
Cohesiveness. This one is super important to me. Basically, how well does your field of study adhere to your goals and lifestyle? Do you feel out of place? Do you feel like you are wasting your time? If so, you may not have made the best choice. Everything that you are doing now should feel as though it is driving towards a single point. There should be no divergence.
That's a simplified version of my decision process. Now, you want to stay near your home, which is understandable. Just be prepared to have limited options. Limited does not mean shitty or few however. Shop around. If you find a program that you think looks good, add that school to your list then keep looking. Rule out other options first before you proceed with one that you like.
My industry advice to you is simple. Regardless of what you choose to study, build a portfolio. Seriously. Having examples of your work can not only get potential employers to overlook a not so great GPA and help recruiters get you in front of people that are looking for your skill set; it gives you something of actual value to discuss during the interview process. The employers will get an accurate view of what you can provide, and in turn, the resulting conversation will give you an idea of what working there would be like before you even start.
I hope at least a scratch of this helps. I know at least a fair bit by now in spite of my limited experience. I can really tell that you are very motivated and serious about accomplishing what you have set out to do. I'm sure you will do well with whatever you choose. Here's add one last tidbit. Don't overlook the strength of a math degree. If you want a broad array of options, applied mathematics is definitely a solid choice.