Check at the start of the match if Grover has the legendary card which gives him the ability to root with crippling axe, if he does then but the item to reduce CC duration, this can save your life many times during a match.
If the enemy Inara is using the Tremors legendary then focusing on destroying her walls when she creates them will significantly decrease its effectiveness. Use the anti deployables item and not anti shield since she deploys a wall not a shield.
Inara's CC immunity skill can help her nullify effects such as Tyra's aoe fire, Willo's Dead Zone and Jenos' Void Grip. It can be used during the effect as an immediate cleanse.
Grover's ultimate does not make him CC immune but stunning him will not cancel the aoe heal. Displacement heavy comps are very powerful against him since they can keep him away from his team and reduce his healing.