One here. To give you a quick answer to the primary questions:
Inspiration: Whatever the beat tells me to write about. I go with the vibe and the rhythm.
Writing Process: I'm quite meticulous. It's trendy these days to brag about how quickly you can construct a verse. That, to me, is boring. I try to draw in elements from other genres and mediums as I see fit. I recently wrote a verse with references to some country songs to capture some of my favorite, playful laments. I like to take my time, think a bit outside the box, and craft something accessible and penetrable, but with layers just the same.
Lyrics or Beat First: For full verses, beat comes first. If I come up with a line or two sans beat I put it on paper in a section of my notebook(s) designated for such lines--in case I catch writer's block, hopefully they can break the spell. Otherwise, I always try to absorb the beat before I go with the lyrics.
Flavor of Hip-Hop: Hard to categorize. The three biggest influences on my style are Andre 3000, Common and The Gza, which is a bit of a grab bag, but it helps me to be diverse.
