I have a 99 Tahoe, but it only has rear AC, no rear heat. Yet I am still experiencing the exact same problem original poster shared... any chance of small, slow, coolant loss w/ rear AC and not rear heat? probably not huh? I'm stumped.
As I mentioned earlier in this thread, I once had a small coolant leak which I could smell but couldn't find, for
years (I don't drive my Suburban often, so...).
Eventually I spotted the leak between the radiator driver's side tank and the aluminum core. My nose told me it was in that area, but for the longest time I could not get a visual on it.
Those pesky worm-drive clamps can lead to leaks too, if you have them anywhere in your system. The rubber hose yields beneath them over time and they in effect become "loose", and a coolant leak can appear.
Some folks have leakage problems at the quick-connect fitting on the intake manifold for the heater hose.
These last two have probably already been mentioned, I didn't review the thread