>>6678888
Profession first (sorry, capitalism sucks) then branch out. At least with a professional degree you can use it as a fall back plan.
Join arts clubs/organizations while working on your degree and work on/improve your portfolio, while keeping informed of any other artistic opportunities/careers that might open up (networking, newsletters, LinkedIn (unfortunately), etc.).
It might be a bit late in the game, but do you have an interest in architecture? From what I'v heard it's very competitive and labour intensive (not to say that engineering/comp sci is any easier), but it does definitely incorporate a more aesthetic/art-centric element.
Also, I think it's really impressive when STEM-cels incorporate whatever artistic skills they have into the designs they come up with (See: Da Vinci, Vitruvius, the guy who built the Parthenon, etc.)). An engineer with an aesthetic eye is rare... to say the least.