That is because South Burlington is a commercial area. If you want to find small B Bs, of which there are plenty of in Vermont, you need to look outside of the Burlington metro area. Try looking for B Bs in St Albans, Shelburne or Vergennes, which are all still relativley close to BurlingtonAlso, even though BTV is listed as an international airport, there are no direct flights from outside of the US to it. You can get connections to BTV from most major east coast airports like those in Washington DC, New York, or Philadelphia.
Go on-line and look for a local newspaper. Read the classifieds for B Bs. Alternative is to look for reasonable motel (Super 8 or the like) and find a reasonable diner. They are out there as Vermonters are not usually wealthy!