Two things that come to mind are sales engineer (tech skills, sales, training) and consultant (tech skills, project management, team management, sales).
If you've worked with a particular software vendor's products, it could help you get your foot in the door as a sales engineer for that vendor.
You could also do technology consulting at one of the Big Four or a similar consulting firm. And you can leverage your reputation and network to go back into industry if consulting isn't a long-term fit. (A few years ago, I was in a similar place career-wise and went to one of the Big Four for a while. It was a good experience for me because it basically forced me to improve my weaker skills, and it exposed me to new domains outside of my areas of expertise.)
The downside is that you'll travel a lot in either job.