I have a 3 year old snowshoe who will not step all the way into the liter box. She hangs over with her butt and pees on the floor. If she goes poop, she will step all the way in, so I know she can fit. It is a standard size box and in my bathroom under the shelving area. I had a shelf removed so she has enough room to sit up straight.
I have put down pee pads under the box and that catches the pee, but I would like to train her to step all the way in. She does this randomly, it doesn't seem to matter if the box is clean or has new liter. She is a large cat and I don't think she will fit in a hooded box.
I don't have the option of moving the box, I am in a small apartment and this is the only tiled floor with the exception of my kitchen, and I won't have a liter box in my kitchen.