Hi Hypnopotamus, and welcome to DV's!

I'm not one of the Podcast People, but I might have a thought or two anyway:

Yes, of course you can WILD just after waking from a dream; better yet, if you can WILD as you are waking from a dream, you will be doing a DEILD.

There is a chance, if you are attempting this very early in the night (when NREM periods are longer) that you might encounter some NREM "between time" as your unconscious/dreaming mind resets for another REM period. But I wouldn't worry much about it. If you stay calm, perhaps enjoy the void of NREM, you will find your dream forming soon enough... indeed, I've found that, for me at least, if I am very focused on my next dream, my dreaming mind responds by providing dream scenery a little ahead of schedule. In other words: do your WILD, and try not to worry about catching REM; it's not as important as these forums imply.

On another note, there is no need, ever, to induce SP to successfully WILD. SP, or rather REM Atonia, which is what we're really talking about here, is not a component of WILD, and looking for it can be more of a distraction than an aid.