If you are flying AA, there is a 19:30 HND-HIJ on JL that you should be able to catch. But HIJ is in the middle of nowhere. Taxi from HIJ to JR Hiroshima cost about Y15,000 or by limo bus.

I would suggest flying into KIX then JR to Hiroshima by Haruka to Shin-Osaka + Shinkansen to JR Hiroshima.

First time I flew into HIJ, the taxi driver asked me three times to confirm I really wanted to go to JR Hiroshima. When a highway sign of Saijo went by, I thought I landed on the wrong island and the taxi was headed for the bridge. Fortunately that was a different Saijo.