^^^^Thanks @sifighter
I was just now doing a dive into comicvine and found Hawkman is in that JLA run from 2013 but descriptions sound like he plays more like a support player w/o any real development.
I next saw the JLUnited and the only story he seems to feature is one where he and Lobo share blows and they go to Rann. That might be fun to read but probably not crucial.
My plan is to read this Death of Hawkman then get the first two trades of the Vendetti run. The third trade is solicited for September on Amazon.