In my opinion, Necoran can handle Chinax on his own.
If he goes to kill him directly with his ultimate ability, he will be vulnerable to a counterattack. The resurrected puppet can be destroyed by being killed, executed, or exorcised. Chinax cannot be executed during the day. So, the options are either Inar or mages.
Besides, if Inar is executed, he cannot be resurrected as a puppet (apparently).