A room near Nashville University Hospital for a family from a village four hours away

My father Andrew has been accepted for treatment at Nashville University Hospital in Nashville, starting on Thursday in March. We live 508 km away in a village four hours away, and hotel costs would use up what we have set aside for the treatment itself. We're looking for a room, granny flat or short-term rental within about 30 minutes of the hospital, for 4 weeks. Two of us would stay: Andrew and me. We can contribute $140 a week and cook for the household if you'd like. Andrew will have some immune precautions, so a clean, smoke-free place would be ideal. A kitchen is a bonus. Thank you. Thanks for being kind about this.