Maximum, Maximum
First time here, read your post re- explaining to S B and doing your best to vindicate yourself with every hole he picks in your story at every turn. You finally put together a scenario that makes you look the hero '... it was 0400 after a long night...' .
Without going too deep, the hairy situation you put together is one that required good CRM on this tiring night.
You might been absolutely sure of which way to turn on this night ( to your tired mind) and the F/O had doubts, it is possible that you assessed this situation from a superior position.
no amount of training or indeed experience could have avoided this. This was a simple left or a right turn at some point after T/O. It is a shame about his hollering as you say but a quick and mandatory cross check about what you thought was right against his was necessary by every means possible and S B did his best with some good suggestions . The first being that your charts should have been handy and the lighting in the cockpit should enable you to quickly see what the chart says , or else how did you intend to continue the SID and avoid the mountains if you suddenly lost your FMC input for what ever reason.
As you did not elaborate whether you did any retake or quick assurance to this confused F/O, I am left to deduce that you went along with your assessment of the situation which was correct on this ocassion..... Just imagine if for whatever reason you were wrong? you could have red hot paint all over the mountain.
Recommend very good CRM next time.
Happy flying