I do this ie running at 8.30 or 9pm, for exactly the same reasons as you. I do find it hard to sleep afterwards sometimes. I only do this 3 -4 times a week so catch earlier nights the off nights.
Good luck.
Hi.
As long as you do stretching exercise before and cool down exercises after, I do not foresee any contraindication to working out at night.
Some people, however, have trouble sleeping after a workout (most likely because of being unable to cool down) but if you are not like these people, then go ahead with your workout.
Hope this helps.