Yes. In most of the provinces there is a legislative committee composed of members of all parties. They advertise for the position of ethics commissioner. They interview the best candidates. In some cases, the candidates being interviewed will say that they won't accept the position unless the decision to recommend them is unanimous. It's so important for the commissioner to have the trust of both sides of the House.
I think it would be useful for you to look at what's done in most provinces in choosing the ethics commissioner and maybe think about changing the federal procedure.