Refer to the developer instructions and install all the dependencies on the offline computer. Then, compile Armory and copy the entire Armory directory over to the offline computer. You should be good at this point.
Granted, I'm assuming you're talking about Linux. If you're talking about OS X, you can just compile Armory and copy Armory.app over to the offline machine. I'm not totally sure about Windows but I think it's similar to Linux.
Thank you. Makes sense.
By the way, do you happen to have answers for this thread?
https://bitcointalk.org/index.php?topic=1135428.0 Some questions about adding entropy. Once I get this cleared up, I'll be ready for using Armory for storing some real dough. Exciting indeed!