I in agreement with jsonderulio, but think of it this way. Just because you may end up doing a lot of "Big Thinking Generalist" work, it may be a difficult sell to go in thinking that title would exist.

Are you a good fit as CPO, CTO, etc and then the your capabilities as "Big Idea Guy" can be leveraged from those positions.

Think about it another way, how many company CEOs or Boards have ever thought "What we need is an Big Idea Guy".