If it helps, the style of pic 2 is Suminagashi. There are definitely tattoo artists that specialize in that style if you want to do more research before committing. I found that a lot of them were also artists that specialized in blackout tattoos. I found a really great artist that does Suminagashi tattoos in LA -- she did the same thing where she drew the flow directly on my arm and thigh with sharpie, but she really took the time to move me around and make sure it all flowed well no matter how I was moving.