I'll pass on the Starbucks products, moral objection, but that's a different topic.
We use to carry a press, grounds and all the stuff necessary to make coffee in camp. I got tired of the hassle and extra stuff required and went ultra simple. Now we just use instant coffee or espresso mixed with hot cocoa mix, instant mocha, just add hot water. We make pre-measured bags with 1, 2 or 3 scoops of coffee and a bag of cocoa mix, using super basic sandwich bags if backpacking, they pack down great. If we're in the truck we just drop a container of coffee and a box of cocoa in the food tote.