Build Guide Revision 2 is now live. I updated the link on the original post.
It still lacks the new "E" Hatch as well as the skin documentation, but the build info should be easier to read. Again, documentation is not my forte, so don't judge it too harshly.
Edit: I had a small error in the Flap section, re-uploaded r2.1 06/04/18.
@noname4now
So after many experiments and wasted parts, here is what I found.
I use 3M Super 77 Multipurpose Adhesive in a spray can.
@Amazon
The most common recommended process involves spraying both the foamboard as well as the paper then waiting 30 seconds or so until tacky and pressing the two items together. I never had any luck with this. Not because it did not work, but because of the over spray causing the paper to stick to EVERYTHING you do not want it to. And as you have found, when you want it to stick the the foamboard it likes to peel away.
What I found works the best is to lay the paper skin face down on a clean surface off to the side. Take the foamboard you want to attach and spray a healthy coat of adhesive over the entire board. Do not skimp. Make sure it has a good even coat. Next thing to do is attach it to the paper right away. I would say wait 10 - 15 seconds, but do not wait the full 30 seconds. I think the adhesive soaks into the foamboard paper too fast to wait the full 30 seconds. I know it sounds odd, but this is the only way I had any luck. I do not think this would help your case though as the parts really need to be laying flat, it would be hard to try to wrap paper around an 3 dimensional object covered in sticky glue.
Another tip: I know you want to test a piece to see if it peels up easy, but try not to pick at it for a bit. If I suspect any adhesion issues I wait until I cut the parts out then try to peel the skin off of the scrap pieces.
One last tip: Even with the process used above, I still get the occasional peeling part. It will happen, but do not sweat it. I always keep a jar of rubber cement on hand. Just dab a bit of cement on the peeling part and stick it back down. It works great.
As for the paper you linked I have never used that before so I can not say. It looks like it could be a winner not having to deal with the glue, but I would be cautious of the weight. The red prototype I you liked above was printed on a heavier paper and it adds up REAL quick. That said, feel free to experiment. I am by no means an expert. I have just been making stuff up as I go. If you do try that adhesive paper let me know how it goes.
As for the glossy print quality I think you should be ok, but all printers are different. If you are not happy with the way your printer up-scales prints I would use something like Photoshop or GIMP (which is free) to upscale the prints from 150 to 300dpi. When up-scaling use "Bicubic" re-sampling. I would not sweat it though, I intentionally made the artwork with feathered edges so it should print fine at 150dpi. I would try a test piece first and go from there.
I am sorry about the issues you are having with the skins, I know it is a pain. I have built 4 of these now with skins and while they get better every time, they are not perfect.
And as always, if you have any other questions just ask. I will answer ASAP.