camp
I think you're over thinking this.
Most 767s will depart on a runway analysis that accounts for obstacles in the departure. If there is a special engine out procedure it's usually stated on the runway analysis as well. They usually cover PANS-OPS or TERPS.
If you lose one on takeoff, fly the Boeing profile, clean up and climb to a safe altitude (refer to the runway analysis, SID, or mark 1 eyeball)
Also, on one engine you're likely a pan pan or a mayday so all bets are off. The regulator says do what you need to do. Anyone taking measurements in this circumstance can get stuffed. Unless you can't control your heading and yaw manually within reasonable tolerances. If you can't, center-in-command, heading mode. LNAV, VNAV works too.