Issues with AltSoftSerial
Try SoftwareSerial rather than AltSoftSerial.

I don't see the point in these lines, I think you can remove them:

 if (Serial.available())
  {
    portOne.write(Serial.read());
  }





  I have connected directly to a pic and verified the radio I'm connecting to does indeed continue to send data.


If that is the case, that it sends data anyway, then you could just use HardwareSerial. Connect the radio to Rx (D0 on the Uno) and leave Tx unconnected. Then just read from Serial, and write to Serial. You should see the results on the Serial Monitor. (Disconnect this wire when uploading new versions of the sketch).