Here are some links for you: This one is by Melanie and she is using alcohol inks with Kraft paper from Gina K Designs:
http://stamptv.ning.com/video/layering-stamped-frames
Here is one by Stephanie Bernard, where she is using the frame-lit flip-its:
{Stamping Project} with Stephanie - How to Make a Gate Fold Card using a Sizzix Stand-up Die : The Stamps of Life - Videos
On the layering weight question with Alcohol inks, I will cut my image out either by hand or with a Spellbinders or Sizzix die and have no trouble. Actually I use the heavy weight cardstock this way as well.
If you are wanting to sample some of Gina's cardstock, she is recommending the Ang & Me set, which will give you a pretty good sample. Here is the link for the video where she talked about it:
http://stamptv.ning.com/video/bestie-birthday-card
And here is the link for the paper pack set:
Ang and Me Supplies Kit (Stamp set sold separately)
I love my Gina K paper. I use other paper as well, but this is the best that I have found, as it is very sturdy, comes in many colors and the shipping is great. I do use SU paper as well, more for layering. My sister is a demo, so I shop from her sometimes.