Chances of early morning uber?

I'm heading to Houston for a cram course and am tossing up between two flights for my domestic return. One of them offers free carryon but is at 5:30am for the return. So I'm guessing I'd need to leave at 2am. Thing is I'm worried about my chances of getting a 2am uber at hazyknoll lane 77067. Can anyone tell me if it'd be too risky and I'm better off getting the afternoon flightinstead?

edit: thanks guys! I booked the early morning flight with extra baggage.

seeing all the responses reassuring me and none saying otherwise really reassured me and the family. I really appreciate it.