Quote - When you click on the push tool button you get the options in the "window on the right", where the dynamics, etc. are. Under the tool tab are some options. The important ones are "distance" and "restrict to selection". If you type in a low number (say, 0.1) in the distance box, it lifts the hair only that tiny bit above the surface. 

I think we're getting to the core of the problem. Small push values doesn't do it. The hair gradually get visible on the edge of the scalp if I use small values. I have to use values between 0,5 - 0,8 to get a decent cover. However, the push tool of course pushes the entire hair outwards, not only the roots. So a go with the push tool around 0,5 make her look like Dee Snider or Tina Turner. Actually, I used to have posters of Twisted Sisters when I was a kid so I have to say that Dee Snider had his moments but it's not really what I'm after.

But, I think I solved the issue. I made a separate hair group on the scalp just on the top of her head. I drape the hair and then use the push tool. The hair on the sides belong to another hair group and stay draped. This works for me.

What still bugs me is that the hair guides look perfectly good, but the hairs don't conform to them smoothly. I mean, if the hair guides fall perfectly neat over the head when I drape them, why do the hairs fall through it?