How do you find a job as a ex-founder?

I was a founder (and CTO) of a successful startup that was bought out by a medium sized company. I worked there for a while more as a consultant (basically transferring knowledge and supporting my team with the new management) and then it felt time to leave and enjoy my picked fruit. But after a year, I'm looking for a job and I find it an almost impossible task. I'm either over qualified or under qualified.

For example, if I apply to a position of "Director of Engineering", I am usually not qualified enough as my experience is only around 5 years of tech management and only in the startup I founded. Most of this experience is managing a team of under 5 people (later the engineering team grew to 15). But if I would apply to a tech lead position, I am over qualified. I can't apply for any engineering jobs either as I am over qualified for those too (at least so I've been told).

At this point it feels like if I want a job, I have to be a founder again.