I had something similar happen with my 97 T/A. It turned out to be a bad connection at the BCM.
With yours though it sounds like it's probably a bad wire connection between the ignition switch and the RAP module (the switch is where the RAP module gets its power from). So I'd check that first, then check the RAP module itself and them check the BCM for any problems.
Just to let you know, the BCM is located under the glove box on the passenger side of the car. It's a black box with 3 sets of wires running into it and is about 4 inches by 5 1/2 inches in size. The RAP module is located on the drivers side down near the gas pedal but near the center console. Here's a link to a pic of the RAP module location:
http://shbox.com/1/express_down1.jpgGood luck and let us know if you need any more help.