The centerline of the flange for a rear-discharge floor-mount is commonly 4" above the finished floor.
Did you guys use thicker tile in this installation? I ask because the bottom of the flange looks to be below the floor line, and I question whether that's going to work for you. In other words, the higher floor may preclude the flange from lining up with the toilet outlet. I'm sure you can find some way to fix that, but it's an obvious concern. Of course, you could open the wall and replumb the pipe between wall and flange in order to raise the flange. That would be much less involved than installing a floor flange.
Toto doesn't make a floor-mount rear-discharge unit.
Probably your most obvious choice is the American Standard 2876.100.020, which is a white Yorkville Flowise Pressure Assist toilet. It uses the Sloan Flushmate, which gives it a pressure-assist flush that works well. It's a little noisy on the flush -- you get the ka-WOOSH of the pressure assist. But most people think its okay. Street price more or less $475 for the regular height, about $100 more for the higher version. (The suggested list is, as with most things, considerably higher.)
Here is the spec sheet for the Elongated regular height version, with the lip of the bowl 15" above the floor.
Here's the spec sheet for the AS Yorkville Right-Height 2878.016 version, which is 16.5" to the lip of the bowl.
Other options include a Mansfield Quantum-One Elongated ADA rear-outlet toilet, which is also pressure-assist. It is "chair height", which is 16.25 inches to the lip of the bowl. We don't have a lot of experience with Mansfield, as it tends to be distributed more-regionally than other brands. Menard's, for example, sells it.
http://www.mansfieldplumbing.com/wp-content/uploads/2015/03/151-119.pdf It's a dual-flush, which actually concerns me because I don't know if it uses the Sloan Flushmate (great) system or, instead, the hated, despised, said-to-be-prone-to-breaking WDI Dual-Flush pressure vessel.
Gerber makes, for about $375 street price, a Maxwell 16.5" high elongated back outlet, Model Number 20-022.
http://www.gerberonline.com/downloads/specs/Toilet/20-022.pdf It's a gravity-flush (like most toilets are). It has a MAP rating of more than 1000g, which is as good as it gets, but I don't know more about the flush (bowl-cleaning, etc.). Terry has had good experience with their wall-mount rear-outlet Maxwell, but that's a different bowl so one can't necessarily make comparisons. If you think the pressure-flush would be too loud, then this is an option.
Keep talking to us and we will help you narrow your already-narrow choices and give you some ideas on installation. Are you doing this yourself or having a pro do it?