For those of you that just gotta have your coffee... a little mental exercise.
Separate, hypothetically, the caffine hit from the warm beverage. Now, honestly, which is it? The drug? The bit of cozy warmth? The flavor and aroma? The social break?
If it's primarily the drug, you can buy caffine tablets. Usually the Kroger stores carry a house brand. The name brand, if you prefer that, is No-Doze. They typically have 200 mg of caffine, and if that's a bit much for you, the tablets can be broken in half.
Reason I mention this, that that I rarely need caffine out on the trail, and those tablets weigh less - a lot less - than coffee fixin's.