Best dog-friendly apartments inside the loop?

I know almost all apartments allow dogs but I'm wondering if there are any that are really good about having walkable areas for the dog nearby or maybe a dog park on site at the apartment?

I'd be looking for a first floor unit so if anyone knows of anything that opens up to a common green space that would be fantastic as well.

Mainly looking at Heights, Montrose, Museum District, and near the Galleria but open to anything on the west side of the loop. Not worried about price too much.