Rc airplane "black box"

A GPS module like this one would be much more convenient, as it has built in antenna.

You will need two arduinos, like the Pro Mini, for the transmitter and receiver.

There are lots of tutorials on the web for both the GPS and the radio communications, but avoid Instructables, as most of them are written by people who have no idea what they are doing.

Learn to read the GPS, and to use the radios, separately.