You aren't going to like what I have to say about this one. If it's anything like my own 97 K2500 you would have to drop the steering wheel, completely remove the dash and lay it on the seat with all wiring and connections carefully noted and then you could get at the distribution box. This could be an all day or more job if you have all the little tools to get it all apart. When distribution box is opened you could then clean the evaporator but you probably would want to replace it with that much work and that involves opening up the A/C refrigerant system and all that goes with recovering refrigerant, adding some oil, suggested new accumulator/drier then vac and charge by weight of refrigerant. WOW!
You might be able to find the condensate drain and just carefully back fill it with a soapy water and let it drain without taking anything apart but the results are iffy but might be worth a try but that would probably get the interior wet for trying -- untested by me so if you even think of that you are on your own,
Hit back if you need more help as I know someone out there who does these routinely,
T
Tom Greenleaf - MetroWest Boston - USA
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http://www.autoacsystems.com/tomgreenleaf/