I wouldn't call Elysian Guesthouse a B&B, since there is no breakfast. What you get for your money, is a lovely room with plenty of space in an authentic NOLA house. The room was lovely with a small walkway, containing a fridge, leading to the separate bathroom and a lovely room with a beautiful antique bed, a couch, TV and a desk.
Outside there a several small corners with garden furniture, where you can relax and enjoy the weather. There is even a open air hot tub, which you can use free of charge (but remember, this is swamp country, the mosquitoes will bite!)
The area feels safe, although I probably wouldn't walk home alone as a single woman, just because there is not too many people on the street. There is a supermarket just around the corner and Frenchman Street is just a short walk away with its abundance of bars and restaurants.
The owner is really nice and helpful, he will give you good hints to where to go and what to do.