I have this problem to (same year model)
In my case it's the Heater Control Valve that is not closing all the way b/c of its being 17 years old. Step one is to see if the cable attached to the hot cold slider hasn't slipped. The ends of the cable housing need to be firmly attached so that the cable goes through the proper range of motion. access it from the drivers side, removing the side panel of the center console.
If that doesn't fix it, then the HCV need replacing. (true in my case) ~40 -50 dollar part and not too easy to get to, but it's been done.
The poor man's fix is to put it on recirc and use the windows for ventilation until you actually want the heat. This is what I do for now.
Happy wrenching!
K
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