Shoes for rock scrambling and via ferrata?

What kind of shoes are recommended for klettersteig/via ferrata? Hiking boots' bulkiness and their very high profile does not give a good sense of foot placement.

I have a pair of scarpa boots (ZG 20), which are very good on softer surfaces, but on rocks and tree roots they become quite slippery (especially in the wet). They have a good edge, but I would not trust them on an inclined rock surface. As I see it I have the following options:

a) Use my pair of trail or mountain running shoes all the way.
b) Use my hiking boots and bring my climbing shoes for the scrambling parts.
c) Buy an approach shoe (they do not seem much different than a mountain running shoe, they could be a bit lighter).
d) Buy a new pair of hiking boots, with lower profile and better grip.

Any suggestions?

Garmont Vetta Plus may be of interest to you, Garmont makes three similar models: Tower, Pinnacle and Vetta Plus. I own the Tower, the heaviest of the three boots, and find it is far better on steep rock than a full-weight mountain boot, hikes fairly well, and yet is stiff enough for effective step kicking in hard snow. Crampon straps are distinctly less comfortable on a very light boot than on a traditional mountain boot, but they are certainly not unbearable. The Vetta presumably would climb rock better, and snow less well than the Tower and Pinnacle models. Sportiva makes a boot similar to the Tower that is somewhat more widely available. In the past couple of years several other manufacturers have produced comparable models. I've heard some complaints from hotshots about the durability of these boots compared with more traditional designs, but my mountaineering schedule hasn't been rigorous enough to evaluate this problem regarding the Tower.

Most folks doing v-f seem to use approach shoes, with some using trail-running shoes. Approach shoes are more suited, since they climb well on rock (smearing and edging), and the patterned soles were designed with scrambling and v-f in mind. I have been quite happy with my La Sportivas. I will be able to make more comments in a couple months, since I will be spending a bit of time in the Dolomites with my son doing a bunch of v-f.

Brian, you just got back recently, so you have recent experience and observations of others.

So then I am inclined to just reuse my inov-8 roclite shoes. They have an excellent grip. I will post some reports later.
In the meantime, I am shopping for a boot that would also be good on rock. From the models available here, Lowa Tibet GTX seems to be quite nice indeed. There are also some very cheap boots by a manufacturer called McKinley, anyone heard of that?

Yeah, Bill, approach shoes.

I used my La Sportiva Exum's in Italy and really liked them. Any number of the sticky rubber approach shoes that a person could climb up to easy fifth class in would work, methinks. 5.10, Montrail, Nike (has a new one, anyone tried it?), Garmont, Lowa, Scarpa, etc etc.

-Brian in SLC