You should also get kudos for doing it that way because that is, in fact, The Right Way--it's too easy to lie to yourself about where you are if you start from the map.
There's a nominal version of disorienteering that happens when you're a pilot studying for (or flying using) an instrument rating. Then you do all kinds of crazy radio navigation, which includes significant issues about signal clarity, scalloping, etc., and also sometimes has you tracking bearings, sometimes homing on a transmitter, and sometimes tracking arcs a specified distance from a transmitting point.
Come to think of it, disorienteering in airplanes is even more exciting because you're in three dimensions and have to coordinate the fact that you're always injecting positional uncertainty through the differences in wind (x and y axes) and temperature/pressure (z axis).
That said, you really can't just turn radio transmitters on and off. So maybe the aviation version of disorienteering would be to have a GPS running in the plane, with the display turned on, set to track. Then you fly the various instructions, which are sent to you by radio at present points. At the end, you look at your ground track, and the person whose ground track most closely matches the Platonic ideal is the winner.
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There's a nominal version of disorienteering that happens when you're a pilot studying for (or flying using) an instrument rating. Then you do all kinds of crazy radio navigation, which includes significant issues about signal clarity, scalloping, etc., and also sometimes has you tracking bearings, sometimes homing on a transmitter, and sometimes tracking arcs a specified distance from a transmitting point.
Come to think of it, disorienteering in airplanes is even more exciting because you're in three dimensions and have to coordinate the fact that you're always injecting positional uncertainty through the differences in wind (x and y axes) and temperature/pressure (z axis).
That said, you really can't just turn radio transmitters on and off. So maybe the aviation version of disorienteering would be to have a GPS running in the plane, with the display turned on, set to track. Then you fly the various instructions, which are sent to you by radio at present points. At the end, you look at your ground track, and the person whose ground track most closely matches the Platonic ideal is the winner.