I have no idea how accurate this is going to be from a CAD standpoint, but when you said you wanted to 'unfold' your model to a surface, I immediately thought of papercraft.
Here is one app that does that.
http://www.tamasoft.co.jp/pepakura-en/Do bear in mind that they are designed for paper craft, NOT fabbing!
Apart from that, following this trail may lead you to something that will do the job for you.
Owen
I have no idea how accurate this is going to be from a CAD standpoint, but when you said you wanted to 'unfold' your model to a surface, I immediately thought of papercraft.
Here is one app that does that.
http://www.tamasoft.co.jp/pepakura-en/
Do bear in mind that they are designed for paper craft, NOT fabbing!
Apart from that, following this trail may lead you to something that will do the job for you.
Owen