Based on my experience and on my bias for what language acquisition researchers I favour ( :-) ), I don't think #2 will work as you described.
The key to language acquisition (acquisition giving you the ability to use the language without undue thought or planning) is repeated exposure in a comprehensible way. So you would think that skimming would be ideal because you can be exposed to the patterns more quickly.
The problem is that research has shown that you require 95% comprehension before you can infer the meaning of unknown language based on context. So unless you are already very familiar with the vast majority constructs and vocabulary, you will not be able to infer anything new and you will not learn anything.
My opinion is that native readers can skim because they already are very familiar with the structures and can guess what's going to be said. This allows them to skip over most of the sentence and still pick out the meaning. The less familiar you are with the structures, the less success you will have (and research shows that the drop off is very dramatic).
On the plus side, the average novel has thousands of unique vocabulary and virtually all commonly used grammar. If you work through a single book, you will cover a huge chunk of the language. And since authors often stick to their favoured vocabulary and sentence structures, once you get half way through, you can usually read without a dictionary. Certainly if you read a second or third book in the series, it can go very quickly.
As an interesting(?) side note, I met my wife when both her English and my Japanese were quite poor. This meant that we had to listen very intently to each other. When the other person got it wrong, we knew it was a mistake and not a matter of not listening. I find that most people (me too) do not listen well in their native language and "skim" conversations -- listening to a small fraction and making the rest up. This is just not possible for beginner-intermediate language learners and ironically it formed the basis for excellent communication between my wife and I. Now that our other language skills have improved, we do not communicate nearly as well!