We lived at
Thornblade Park Apts for 8 months when we moved here last year. No dog park on site, but a nice walking trail. The complex accepts all size dogs. One of my neighbors had an Old English Sheepdog. We highly recommend Thornblade Park. It's near Michelin offices and the intersection of Pelham Rd and I-85. Very convenient to shopping, restaurants, and all the necessities, and an easy drive to downtown Greenville. Oh, and it has garages for rent too. Our 2 BR/2 Bath plus garage was under $1,000.
Caution... turn the volume down on your computer before you go to their web site.