Iso pet friendly room for rent or small home. Under 650/mo (Lynchburg)

Looking for a room to rent where my 40lbs shar pai mix would be welcome too.
He is well behaved, utd on shots and kennel trained.
I work full time thurs-mon 530am-230pm mostly.
I keep to myself, drug free, no tobacco, no bs.
I would like to stay around 500-600/mo somewhere within 30min drive of Timberlake Rd.
I also would be able to work with a private RV spot since I do have a 30ft camper that I am in now.
I have a move out date of April 15 for where I am now.
Any help is greatly appreciated, thank you!