Your suggested use is impractical to dehumidify a living space, though it might help keep humidity down to ~75% in an enclosure.
The issue is that air holds a fair amount of water. At 30°C, 100% humidity (i.e., dewpoint of 30°C), not untypical for a "mild" Georgia (US, not Republic thereof) day, that's 30 g/m3. If you were to buy a 22 kg block of salt for ~US$8, it might last a few days, never dropping the humidity much below 80%, and leaving you with perhaps 28 kg of saturated brine.
Disposing of concentrated brine is hardly ecologically sound -- misquoting Cato, "Ceterum autem censeo Georgia esse delendam." Regenerating it to solid salt by heating will take copious energy, releasing a lot of heat, and likely putting more $\ce{CO2}$ into the atmosphere from your heat source..
[If someone wishes to edit the spelling of Georgia (accusative?), please do so, since I declined to do so, in this case.]