Air Conditioner went out at 40,000 miles.
Began leaking antifreeze at 85,000 miles.
Had the Air conditioner serviced when it first went out at 40,000 miles. My local Chevrolet dealer did an inspection on it which cost me a mere $75.00. They found that it had a bad lower seal. After replacing the seal and refilling the freon I was up to a $245 bill. Almost exactly a month later the air conditioner stopped working again. Unfortunately it happened to be 94 degrees out at the time. Went back to the service department and they diagnosed that it needed about $1,600 worth of work. I was very irrate with the fact that they did not figure it out the first time I had it in. No real good reason. I had it repaired. 15,000 miles later same problem. I am still dealing with GM on this one.
Antifreeze leak started with a small spot. I replaced the thermostat, hoses and put new coolant in the radiator. This worked for about 2,000 miles. The leak is back. I have had it at 3 different dealers. They cannot find the problem. The leak is quite slow. Probably a small spot th size of a quarter twice a week.
I have to admit, even with the problems with the air conditioner and the antifreeze, I would not hesitate to buy another Tahoe. The ride is fantastic. Your driving a truck, but it feels like a large automobile. I would have to say that it is a very safe vehicle. Some may feel that it is pricey, but I did a great deal of research on them and I think that it is a good deal for the dollar.
About the antifreeze leak check the intake manifold.
I have a 2000 z71 Tahoe. Have not had the problems you're describing, but the antifreeze that's used in Tahoes from 2000-2004 is known to erode away different sealant within the cooling system.