After polling both the CAT and TG committees, we have come to the conclusion that all three programs mentioned have the tools to make a tactile graphic, with each working basically the same with the only differences being in the user interface. The primary thing to remember is keeping in mind the output method and creating the tactiles from that point of view rather than which software is used.
One committee member also mentioned that, at least in the past, the Index Basic D came with TactileView and the Juliet 60 came with Firebird, so consider researching that software when either creating or proofing tactiles.
As for specifics, unfortunately, there is not much more we can offer. As with all things in life, sometimes trial and error is the best method for proceeding.
Hopefully you will find something helpful in our response.