Would it be alright to take one dayquil pill and one nyquil pill?

I have a cold, and I want help to sleep. But I have to wake up pretty early and I dont want to get the full dose of the sleepy stuff. I always feel drowsy all day when I wake up, so I am afraid that I wont be able to wake up if I take both nyquil. I want the full effect as far as the cold goes, but only half of the sleepy part. Would it be ok?