Re: Frustration unable to beat against steady wind & current Narr Bay
+1 each to Mark and Xort.
I have been in similar conditions to the ones you are describing...beating into short, choppy waves, finding progress mind-numbingly slow. (no current to speak of, but a 55-mile sail dead into the wind gets frustrating quickly...)
I used to feel that motor-sailing was akin to failure, but as has already been said, if you have somewhere to go, it can be the right choice...no shame in that. you can shorten sail, turn on the motor, and have the benefits of easier motion (b/c of sails), plus upwind pointing (b/c of motor). The only loss is the peace and quiet.
give yourself a break. It sounds like you did everything you could.