low profile recommendation?

need to replace a toilet, and while I'd like to go with the Tota Ultramax or Drake, i need a low profie toilet to fit under a built in shelf. The shelf is 30.5 inches from the floor, so toilets around 27-28 inches really make it tough to do anything inside the tank if needed.

This is a really heavily used bathroom, so really need a powerful toilet, but a low profile one.

Thanks!

The Ultramax is 27-1/4" from the floor, but when you remove the tank lid, you gain another 2.5"

Or the Supreme would work well too.