It's really difficult to create the required slope of a shower floor with the drain located where your outline shows. All that is required is a minimum of 1/4"/foot from the edge to the drain, but most people like the perimeter to be level all the way around. With your drain at that location, I'd guess the distance from the furthest corner to the drain is about 4', so a minimum of 1" drop. Now, if your perimeter is level, that's an inch of drop from the short wall to the drain near the stack...way too steep. Cutting each tile on an angle to account for an unlevel perimeter is a pain, and often doesn't look very good.
Now, the other thing is, you need the proper drain body, and to install one of those, you need to chop up some of the floor anyways. There are two general types of drains, a clamping drain used with a conventional liner, or a bonded membrane flange or use with a surface applied membrane (like Kerdi or Noble, or several other membranes).
Take the time to chop up the floor, and move the drain to the approximate center of the proposed shower. An alternative would be to use a linear drain and a single slope, but be prepared for sticker shock when you price one!