This might help: http://www.tesnexus.com/downloads/file.php?id=6021
You may also need this, not sure if the fix is in the main or not: http://www.tesnexus.com/downloads/file.php?id=12397
Edit: Misread the using the construction set part. I think you will have to make them static objects to do that. You could make the object a container and then put the actual item inside it. Apply a script to it to disable the container when you pull it out to simulate the idea that you took it. I don't have much experience in that field, but quite a few mods do it.
Ancient Towers has quite a few examples that may be able to help you out: http://www.tesnexus.com/downloads/file.php?id=16308 (Eh...I assume its ok to look off his scripts as long as you give credit and don't copy and paste, may wanna ask him though)