Semi-administrative position in academic/research setting after finishing Ph.D. and postdoc(s)
Maybe there was no answer to this question, yet, because there is no clear answer. The nature of such positions vary, but in most cases, administrative maanging of larger projects and coordination of reasearchers or research groups is involved. In fact, many principal investigators are looking for someone, who just manages the project in a way that they don't have to dig into details or do much paperwork etc. 
You'll learn a lot about orgnization, lateral leadership, politics, funding, administration; you'll work with motivated PhD students; but you won't do too much research by yourself and you will have to deal with the ugly parts of the job. 

After a few years, you will be able to decide whether a full professorship is something for you or not. 

To get such a job, you'll have to show solid scientific performance, and it is very helpful if you wrote or assisted in writing research grand applications or led smaller teams.