I think I have come to a brainwave moment. I took a piece of paper, and drew the variables out on the page. It still wouldn't jive with my design principle. So, I took a step back from it, and started scribbling on the page. And I decided that a cross functional chart would be ideal, but was not able to convey the idea I had in mind fully. Train of thought went along a ways, and I drew a convergence tree of the various combinations on the paper. Looks like this:
Goals \
\
\
>------ Chart of both of these
/
/
Phase/
Action \
\
\
>------ Chart of both of these
/
/
Phase /
And so on... Which lead me to this idea on the paper:
/ _____________________ /|
/ / ___________________/ / |
/ / /| | / / |
/ / / | | / / . |
/ / /| | | / / /| |
/ / / | | | / / / | |
/ / / | | | / / /| | |
/ /_/__________________/ / / | | |
/________________________/ /| | |
| ______________________ | | | | |
| | | | | |_________ | | |__| | |
| | | | |___________| | |___| |
| | | / / ___________ | | |_ / /
| | | / / / | | |/ / /
| | | / / / | | | / /
| | |/ / / | | |/ /
| | | / / | | ' /
| | |/_/_______________| | /
| |____________________| | /
|________________________|/
A cube diagram, of sorts... Well, the idea was more of a simple 3d diagram. How to do this in Visio? Pages of course. No actual "3d" diagram, but the idea that underlies it is. So, on each page of the "3d object" is a cross functional diagram of 2 categories... the intersecting shapes leads to another page, which is composed of 2 categories with the same thing, making it a "cubed diagram".

I'll let you know how it goes!