My family and I are are Cali born and raised, but we lived in Colorado for 2 1/2 years (2000-2002). The people in Colorado are truly great folks. Props to them!
However, Coloradans take "great pride" in the fact that you can die of exposure somewhere in Colorado 365 days a year. As Kuato said, "BE PREPARED!"
One thing I can tell you from personal experience, the weather can change quickly in Colorado. It can be sunny and hot one moment, but then become biting cold with blowing snow flurries JUST ONE HOUR LATER. And with all the high mountains, you don't see the impending weather change until it's right on top of you!
Besides the weather, the altitude will be big factor too, even if you are physically fit.
Treat that hike of yours with great respect. I cannot over emphasize that statement.
Scott
PS Personally, I think late November it too late to embark on your Pikes Peak adventure.