Alright... So I couldn't leave this one alone, so I started dicking with it, and I found a way to fix it using NetFabbstudio Basic. So far I've only done the chest.
From previous experience I know that when you have a lot of invalid oriented faces, it's usually due to one or two faces that fold back and intersect themselves, so I started looking for those, and found them.
The faces in question happen to be behind the breast plates. Unfortunately, if you remove the breast plates, you have no way to put them back, as NetFabb Basic doesn't support Boolean operations. So I needed to get a little creative.
First open up the CHEST_BUSTO4.STL part in NetFabb, then click the red cross Repair button. Next zoom in on the area circled in the photo. Also notice that there are some 65,000+ invalidly oriented triangles!

Next, we are going to open up a little of the breast plate top layer by removing a few triangles. Now we can see the defective triangles. They actually form a face that's folded on itself. Using the triangle selection tool (highlighted in red), click these triangles and delete them until the entire area outlined in red, is gone. Once it's gone, you'll see a couple of yellow lines, which indicate there's a small hole there. Click "Close all Holes" to stick and close everything including the opening we made to get to the problem.

Next we need to do the same thing on the other side (breast).

When done, we go back to the status tab, and we can see that all the invalid orietations are gone, and that there are no holes in the model. Click Apply Repair, and Remove Old Part when prompted. Notice we no longer have a Yellow bang on the part. It should be good to go.

I tried uploading the fixed file here as an STL, but it's simply too big, so I zipped it.
I'll try working on the rest of them over the next few days, but this should get you going should you want to fix this yourselves.
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chest_busto4 (repaired).zip 3.37 mb, 11 downloads since 2015-01-19
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To print or, 3D print, that is the question...
SD3 printer w/too many mods, Printrbot Simple Maker Ed., FormLabs Form 1+
AnyCubic Photon, Shining 3D EinScan-S & Atlas 3D scanners...
...and too much time on my hands.