If it's like most capacitance meters, the ranges are in decade multiples. Assuming a 1pF first range, the approximate capacitances would be 1, 10, 100, 1,000, 10,000, and 100,000 pF. Looks like 0.1uF (100,000 pF) is the largest value available, which should do the job.
In the distant past, I designed marine radios, where humidity, condensation, and immersion are considered normal operating conditions. Tests for humidity specify non-condensing which is somewhat unrealistic for many areas of the planet. Quite often, high humidity will produce condensation on the components and PCB as the temperature crosses the dew point. We had considerable difficulty dealing with water on the PCB. Any ionic contaminants in the PCB would cause leakage when wet. Water buildup on small value capacitors would change the value by making the water part of the capacitor plates. The eventual fix was overkill cleaning, bake dry, and various flavors of conformal coating to keep the water out. I suspect you'll find in testing that the C0G/NP0 caps are quite unaffected by humidity, but everything else around them needs protection.
Your higher capacitance C0G/NP0 caps are classified as MLCC (multi-layer ceramic capacitors). These have the unique ability to act as a microphone: The result is that if the PCB or soldering stresses the capacitors, they will change in value. Flexing the PCB will produce capacitance changes or capacitor damage. Vibration will also produce capacitance variations, which could result in an unstable reading.
MLCC caps will also crack if thermally shocked, usually with soldering iron rework instead of hot air or IR rework tools. A big crack is usually obvious, but I've also seen microcracking where the capacitor didn't short, but did change in value. If you look at the AVX data sheet above, you'll notice a "Capacitance Variation" line under each type of mechanical and thermal stress section. Some of those variations are the results of microcracking. More:
You probably won't have any problems with the lower value capacitors, but the higher and denser MLCC caps might require careful handling and soldering.