I've always assumed a Bad Robot TNG film would basically be set in the Kelvinverse and go from there. The opening scene would be the destruction (rather than loss) of the Stargazer, and we see how that loss still affects Picard because he essentially lost a family in his crew. Have Jack Crusher die at that point, which sets up Picard feeling uneasy with his reunion with Beverly because he feels a certain amount of guilt over not being able to save his best friend. In a lot of ways that first film's depiction of TNG's first adventure is what reinvigorates Picard, as he quickly finds a new family among the new crew and so the nuTNG films move from there.