(Not really a map bending story...)
On a night trip up Walker Brook in the adks, to attempt Niagara (no trail or path, and it was dark when we started) we ended up following a northern tributary instead of Walker Brook. Two errors led to our detour: 1. The Northway, I-87, is not where it is shown on the map, but a couple hundred yards West; 2. We did not start taking confirmatory compass readings until a little ways into the trip, because we were confident the brook we were following was in fact Walker Brook.
The trick here was that we were not expecting the tributary so soon after we crossed under the highway, and also, after a brief jaunt North, the tributary turns NW and exactly parallels Walker Brook. So by the time we started taking bearings, the direction we were traveling, and the terrain features, were exactly right for Walker. No "bending" of the map was necessary.
Once we were fairly high on the ridge, though, the terrain became "wrong" and we realized our mistake. Out of time, we dejectedly returned down the "real" Walker Brook.
Lessons learned:
The topo lines and water features on the maps are quite accurate, but things drawn in later like newer highways, or trails, are often not really where they are shown.
Take bearings from the beginning of the trip to confirm.
If you don't want to be diverted onto a major tributary when following a brook, be on the other side of the brook in that area.
Three other pointers to avoid the pitfalls of "map bending":
"Anticipate and Confirm." Look at the map first, and figure out what you should expect to see along the next leg of your route, then confirm it while you travel. It's much harder to "bend the terrain." If you look at the terrain, and then the map, you'll find a bunch of places on the map that "look like where you are."
Plan your route around "bump lines" (unmistakeable objects like rivers, roads, or the tops of ridges, which will limit your travel in the wrong direction.
Look at mistake possibilities. In other words "If we miss this trail (let's say we walk across it in the dark without noticing it), what will happen? How far wrong can we go?"
TCD