Just curious... Why the prohibition against computer-aided analysis? Personally, I find that the act of analyzing a game with an engine to be very educational. The trick is to keep going till you actually understand why the engine is suggesting the alternatives it does.
Sans computer, I'd be pretty much reduced to kibbutzing with my opponent after the game--a worthy activity, but pretty shallow compared to what an engine can do.
Left to my own devices, analyzing is just using the same limited tool that I had at my disposal when I played the game, albeit with some hindsight. Chances are I'm still not going to notice that mate-in-four that I missed in the heat of battle.
I am going to start analyzing my games, without computer assistance (edit- I plan on using a computer after I go through the game first). I would like to know how other players go about the analyzation process.