Conte would absolutely be a great choice. Maybe even the best one. Because as you know Conte already has a history with Chelsea. He made Chelsea Premier League and FA Cup champions once each.  

While he is available why don't they just go for him first? If I were Chelsea chairman my priority would be to do that. However I haven't even heard his name among those many rumours. I just want to see them finding a decent manager and not giving up on him easily just as they did with Pochettino.    This isn't the road going to success for sure. Patience is one of the most important factors in football. It hasn't been easy for most top teams to reach this level.