Hi this may or may not help but I did have to move my IVM from one machine to another. This issue has come up before I think I did it this way.
(1) First you must have a copy of the original version of IVM and a backup copy of all the files in the original machine IVM was installed on. (a point that the IVM does stress in the beginning when you install)
If you don't have any of these then it can't be done without getting a new key from IVM (as you have tried)
(2) Install IVM onto the new computer (the same version as the original machine)
(3) After install, copy the backup files (from the original machine) over the top of the new IVM folder (in the new machine).
It should work. (well it did for me)
regards
JR