Went through both of it... i spent lots of time in university getting my mechanical engineering degree, as well as a minor in business - and slummed it on the weekend in the park/mountain.
Skiing afforded me a release on the weekend and was always my biggest passion - but engineering offered an academic/brain outlet that was satisfying on a completely different level.
I found the time during school to continue to push my semi-pro career - contests, ski trips, weekend shredding and a few bucks on the side working as a park tech - but never lost site of the long term goal and ultimately long term stability planning of a good education and potential for a good job.
I'm sure other guys have said it before - but there are only a very few who actually make it skiing as a professional (though i'm not sure that is what you are interested in...) and there will always be other opportunities in life to continue skiing.
i feel as though putting my post graduation efforts into engineering gave me a whole new appreciation for skiing again - the same drive i had when i was kid was re-born. I found (and continue to find) that the balance between the both continued to make me appreciate both even more.
I say go for engineering - at least you will have that as a great fall back. Knees break, but brains last forever.
Plus - you could always use your engineering degree to design something ski related and really hit a home run.
Take it on the run.