We highly recommend Zinga for backpackers! It was a short 15 minute walk from the bus station when we arrived from Lusaka.
We stayed 3 nights during the low season - the first 2 nights we camped in our own tent and then were very kindly offered a night in one of the chalets at no extra cost. There are good spots for camping at the back part of the property and the chalet was great with its own private shower. The overall theming of the place is awesome with lots of cool designs and is all very well kept. There's a large fully stocked kitchen outside (all utensils, pots, burners etc.) as well as a smaller one inside. We cooked every night we were there and there's a small market less than a minute walk away to buy stuff. The bar area is set up right beside the pool and stocks beers and ciders at reasonable prices. Breakfast and wifi were great and can't say enough about how kind and helpful the staff were! They'll happily organise activities at the falls or a taxi and helpful information about the town too. It's also owned/run by Zambians, unlike the other British ones in Livingstone.