I have a 2.5 liter stainless steel airpot and a #6 coffee cone. The airpot is a Stanley, but the cone doesn't really sit on it well. The hole is too small. My friend made me a "coffee gasget" out of cedar that sits on the airpot and holds the cone. It really doesn't take that long to make a pot of coffee. It's easy to make a partial pot if you need more but not a whole pot. I have one of those metal mesh coffee filters, but it only really works with a little coarser grind. For paper filters, I often let them dry on a rock briefly before tossing them in the trash - just to save weight and reduce moisture in the garbage. I apply some mineral oil to the gasket from time to time to help prevent splitting since it is cedar. Neither the wood or the oil add any perceptible flavor to the coffee. I drink it black, so I would know.
Makes mighty fine coffee. If you have coffee left, it will stay warm at least through lunch. It's best if you have a way to keep the airpot upright, because otherwise coffee can leak into the mechanism and start to taste funky. Handy solution.
Another method that someone in our group uses is the coffee socks or pre-sewn bags as described in the link that Ron posted. Their difference is that they put the coffee sock in a kettle of COLD water the night before. In the morning, you just heat it to near boiling, and it's really good. Nice extraction, and really tasty coffee.
I was on a trip last year where we used a percolator. The person who offered to be in charge of coffee thought my airpot method took too damn long. Percolators can make good coffee, but I think it takes MUCH longer, and it takes a bit more fuel as you have to keep it cooking. I asked the guy how long he perks. He said, "Just until it turns brown." It turns out, he is not a coffee drinker. Lucky for me I keep a stash of Starbuck's instant coffee in my kit in case camp coffee needs to be doctored because... that wasn't coffee; it was brown water! I actually keep a stash of grounds, a personal sized #2 cone, some filters, and even a backpack stove in my kit. I made the best cup of coffee I had in a week while sitting on my boat as we motored out to Leslie Gulch. Mmmmmmm.
I've also done the cowboy coffee in a kettle, then strain the coarse grounds out with a metal strainer into a thermal bottle. The coffee is just ok. With cowboy coffee OR with a coffee press, the coffee keeps brewing in the thermos because you can't get all the fine grounds out. Using a paper filter means the coffee stops brewing when it leaves the filter. Paper filters also remove cafestol, and cafestol has been linked to high cholesterol.
How's that for totally NOT answering your question about coffee presses, other than that they let the coffee keep brewing and leave the cafestol in?