Alternative to the french press that's easier to carry around: a good metal tea filter. Not one that looks like this[1], with holes all over, but one like this[2] with a super-fine mesh. Just knock the coffee out when you're done, and rinse. Also makes excellent tea. You'll get a bit of dusting in the bottom of your mug, but you can either stir it up as you drink (significantly-weaker turkish coffee, I guess) or just leave it.
I've been using it for years (the same filter, actually), it's excellent, and lets you brew by-the-cup easily. French press pots are a PITA to clean. The mesh is way finer than even the finest grind, though a blade-based grinder will make more dust than a burr-grinder.
[1]: http://www.amazon.com/swissgold®-TF-300-Tea-Filter/dp/B000G7... [2]: http://www.amazon.com/Finum-Brewing-Medium-Basket-Black/dp/B...