Tons of great advice in this thread. Thank you all!
I thought I would proceed with cement but I am facing a few issues:
1) Self-leveling cement is meant for pads 1" or less so I would have to use it to top regular mortar mix or just use regular cement.
2) The floor is out 3/4" over approximately 4.5" of the 6' span. The issue is that it is also not even (flat) over the span either. I am having a heck of a time figuring out how I could build a mold that will keep the cement contained.
3) The floor is "finished". My wife spent a month doing a faux (false) tile look and the tank project cannot damage her finish if I want to remain married.
4) I don't know what the he** I am doing.
Shimming is starting to look better all the time. I would look to rip down 2 oak 2x4's (for the full length of the gap) as they would handle compression much better than standard spruce/pine/fir. I would also waterproof all shims against possible spillage.
I never thought simply locating my tank would be such a pain in the butt.
I will post stand pics (at the chosen location) shortly.