I'm feeling burnt out from the stress of upper management-level jobs and am seeking a job change that will involve taking much lower level work in order to start a new direction on my career path.

I'm feeling burnt out from the stress of upper management-level jobs and am seeking a job change that will involve taking much lower level work in order to start a new direction on my career path. How do I answer questions during the application and interview process about why I'm willing to take such a large cut in responsibilities and salary without making the new workplace feel like I'm planning to leave them in a lurch when my skills improve?*

*Note: I'm not planning to leave because I'd like my new path to grow organically wherever I get hired, but my recent attempts at job hunting have resulted in more than one company saying they don't want to hire someone with my experience level who might disappear when better offers come their way. I don't want to be dishonest about my experience, and also it seems to be hurting my chances of getting hired to do anything new.