If you want to stick with Toto,
The Vespin with 10" Unifit
Or Carlyle with 10" Unift.
The Drake and the Ultramax will work with a 11-1/4" rough.
TOTO now has a 10" dual flush at the factory.
I'm bringing some here for the Seattle area.
Toto Vespin II CST474CEFG with SS114 Softclose seat.
This bowl was installed on a 13-1/2" rough-in using the 14" Unifit adapter.
The water shutoff can be as close as 5-1/2" to the left of center, unless it's higher off the floor, and then it can be even closer to center.
This shutoff had been replaced with a new 1/4 turn valve with brass nipple through the wall.
Installation was by James Love of Love Plumbing & Remodel 206-949-5683
In some of the older Seattle homes, the old toilets had been wall mounted tank toilets.
Those typically are 14" rough-in and need a flange repair to use standard closet bolt connections at the flange.
Everything is on the truck for that.
The Vespin comes with a standard 12" adapter or you can order a 10" or 14" adapter depending on your rough-in distance.