There is an excellent line in Hitchhiker's Guide to the Galaxy.
"Presidents don't have power. They exist to hide where the power really lies"
In the same way the role of a CEO is fluid, depending on the tasks given to the rest of the team. He/she can be investor focused, employee focused or customer focused. A figurehead, an autocratic despot or something in between.
Medical markets are not real markets, but insider driven. Thus you need a CEO here who is an insider and credible within the industry. Ideally someone with lots of connections and which attracts interest and investment just because they are involved. The actual management tasks can be done elsewhere.
Think of the people you look up to. The ones you think "wouldn't it be great if they got involved". Approach several of them and structure a role - chairman, president, non executive director etc. for them to be involved. The one which is most engaged - who will work 7 days a week in this business - is your CEO.