What is the nominal range of a nRF24L01+ module?

The publications indicate 100 meters. If you don't need all of the features that the nRF24L01 provides you might want to look at the very inexpensive 433mhz transmitter and receiver if only one-way transmission is needed from the rocket to the base. It too is rated at 100 meters but I was able to get much more than that from it with the addition of a simple wire antenna on both the transmitter and receiver.

I have not seen a 433mhz radios. After doing further research I found that 100 meters maybe the spec but is a pipe dream in reality. I need 100 meters at a absolute minimum but I would really like to have 200 meters

The 433Mhz radios can be found at a variety of locations and prices. Just search for 433 Mhz RF Module. You didn't mention the type of data you were planning to transmit so this radio might not be appropriate for your use. If it is simple measurements it may work for you however if it is live video these modules would not be appropriate.

You may be able to obtain more range with your application given you should be able to obtain constant line of sight. Not knowing your portability requirements it's hard to recommend base antenna configurations but range could be extended with better antenna gains than a single dipole typical of these radios. Also, again depending on the data being transmitted, the data transmission speed can be slowed to achieve longer distances. 

I would like to do both data (altitude, temperature, humidity) and video, however I could live without the video if I could get GPS data also.

An antenna in a model rocket is problematic but it depends on the shape and size. I could use a larger antenna on the ground unit. 

@sj_h1

A couple more questions out of curiosity. How long do you expect the flight to last? Is there a reason the data needs to be real time transmitted and not just recorded and retrieved when the rocket lands?

There several commercial modules available that  do record the data and they are expensive. I wanted to do something different. It is very easy to save data. More of a challenge to do real time.