3M VHB tape (Very High Bond) should be able to get it from McMaster's or other industrial supplies. Double sided with the thin "foam" type center.
They use it to hold the glass on skyscrappers... so it'll work fine with siding.
If you haven't seen the build thread from Rob Gray of Australia - you should read it - he used it on his first build and then switched to an adhesive for the second build as it allowed realignment of the siding before it set. With the VHB you get one try... He used pop rivets (but didn't fully pop them) into the steel structure and then slid the aluminum over them (thru predrilled holes) to align the siding... then popped the rivets off afterwards - seems like a lot of work.
http://www.robgray.com/graynomad/wothahellizat/index.php