First of all I have to say that this is only topic/guide where I saw WILD described in that way. I struggled for almost a year because I didn’t know that but I eventually figure it out!
I had the same problem, I was lying in my bad for some time I felt SP and I got to the point where I just became more awake then I was before going to sleep. So after some nights when I got to that crucial point I said to myself: "what would happened if I just let myself to fall asleep now?! 
" And I did just that. And I was in LD!
Very simple and very easy to achieve!
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You may find on forum most common and most logical answer to that: don’t struggle with swallowing, don’t try not to swallow, just swallow but don’t thing about it like: oh I most swallow, I must, I must! Because that will be greater distraction then actual swallowing. After some time of practice I’ve noticed that I swallow a few times and then I stop swallowing, but sometimes I do but not consciously but more like a muscle twitch, almost like the brain is controlling that…
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I’ve never tried that, but I guess if you are able to sleep in public and in noise[but in library shouldn’t be any noise, right
] then you can WILD if you find a good time for that! -
I only WILD after minimum of 3 hours of sleep… I tried with naps but no luck, I guess I have to much night sleep even to be able to nap, because whenever I tried napping I almost never fall asleep!