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Your problem will be in a fact that both AltAz coordinates of a certain object change with time (in eq case, only hour abgle changes, DEC stays the same).
So you can't avoid a lot calculations (impossible to perform on a piece of paper in a short enough time to be practical in the field).
Your only chance (if you really don't want to use any kind of electronic device ) is star hopping - the method that was the only option in the past, but sometimes more enjoyable, and the method that will force you to memorise the sky and it's details - which may be very rewarding in the future.
You already mentioned the way - only, your landmarks for observations should be bright stars and asterisms, not planets (they are also moving more or less in days or months, so they are not good for memorising the positions of fainter stationary objects.
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