unfortunately, the entire area in the south has a nonexisting housing market. If you really want a house I suggest getting a realtor up here to get it for you before you arrive. Rentals have an availability of less than 1% unless you are already here and can go in person, there is no chance for you to get a rental in the southern part of NH ahead of time. On top of that the price range you mentioned will most likely only get you a one bedroom. Can your employer not help you to secure housing?

Good luck!