First I want to give you a word of advice...be careful on heeding advice given by NTs...I followed advice from NT friends for a good portion of my life, and it failed by and large. I don't blame them, of course. Neither they, nor I, knew about my AS at the time.
With that out of the way, let me say that as someone with AS, you should use a hybrid approach. You need to be actively seeking so as not become self-absorbed in your special interest (if you have one), or in your routine.
But while doing so, you can't appear to be desperate or needy or pushing too much. Don't hold any encounter too preciously. That's the 'love finds you' part.
To do this, put yourself out there. Get involved with many different activities that interest you.
Now that advice serves NTs well, same as those with AS. Here's the part that is problematic, and why the advice of my friends (and common wisdom) failed. Whilst doing these activities, you'll likely get signals from women who are interested in you. The NT picks up on these signals, and advances the relationship. In my experience, the AS person misses these cues, and thus nothing comes of the effort. That is why the NTs give the advice they do...it does work. For them. For those of us with AS, we need to learn to identify these clues.
Of course that is only the beginning. Once a relationship blossoms, there'll be a whole host of other issues involving your AS. But one step at a time, eh?