Oh, yeh, I was thinking: what about a poached egg?
OMG! I bet that would work very well! Can’t see why not! If you like them hard, no problem, but otherwise, you would need to time it pretty carefully to still get the runny yellow of the 3min egg. (I do like my yellows runny and my whites firm!)
Just located this:
“...Alas, alack! Poaching eggs in a dorm room sink is functionally impossible, but there is a simple way to poach eggs in an ordinary thermos. Simply prepare the egg in plastic wrap as described above and place inside of a standard size thermos. Just pour boiling water into the thermos and screw on the lid. Allow the egg to cook until the desired level of doneness is reached—depending on the starting temperature of the water and the actual size of the thermos, cooking time may vary from eight to 12 minutes. Some experimentation may be necessary in order to ensure that the egg ball cooks all the way through...”
http://bwog.com/2010/10/07/the-odyssey-poaching-an-egg-in-wien/