I got an idea for a more robust chicken: you get the points for word length when you finish a (Scrabble-valid) word. That way you don't need anyone to start a word.
E.g., here's how it could play out: Loxiiv - N me - I Demos - G Rick - H -> Rick gets 5pts for NIGH, next letter starts a new word. So you can either be bold and continue the word or try to end it now for all the points.
With those new rules in mind, let's give it a shot: