Now, let me get this straight. You want to go hiking. You want to have a cup of hot coffee at the turnaround point. All very understandable. But if I read your question correctly, you want the dog to carry the coffee equipment! Do I understand this correctly?
Gaz Turbo Stove

Fortunately, it appears the pointer has the upper hand and has thus far foiled your scheme. So the question becomes: What are YOU going to carry so you have hot coffee? Well, there聮s always an insulated Thermos-type bottle. The Zojirushi Tuff Slim Vacuum half-liter bottle ($36; rei.com) would do nicely, holding a couple of cups. Total weight, with coffee, would be about two pounds. I believe you can manage that.
The alternative is to make coffee on location. That gets a little more complex but is do-able. I prefer the GSI Lexan Coffee Press ($18; gsioutdoors.com), which weights 6.9 ounces and holds ten ounces of coffee. It聮s a French-style press and works fabulously well聴I wouldn聮t go on a bike tour without one, and it gets serious consideration even when backpacking. Of course, then you have to heat the water. The Gaz Turbo is light, reliable, and inexpensive ($28; rei.com). MSR聮s 475ml Stowaway Pot ($16; msrcorp.com) would probably hold the whole thing.
If you can shell out a bit more dough, check out MSR聮s PocketRocket/Titan Kettle Kit ($80). The kit includes the ultralight PocketRocket canister stove, which fits inside the kettle (also included), which doubles as a mug (but it聮ll be hot). All for only 7.3 ounces. Either way you go, you聮ll have hot java in no time.
The Gear Guy reports from , the bi-annual gearapalooza in Salt Lake City. Check out his top picks for gear to watch in 2007.