Yes, do come when we have more daylight hours (peak summer, sunrise appr. 4.30 am and sunset appr. 10 pm); if you worked every day you will only have seen Copenhagen in the dark. And it'll be warmer too.....
Combine it with a stay in Stockholm and you'll have a really nice holiday.
(very nice Hilton in Stockholm with a nice lounge and very centrally located).
Be sure to post here if it ever comes up - we can help you with your itinery and practical details.