From the info you have given, I don't think you would care for Brianna's Beach house. It is a darling little house, but there will be "golf carts breezing by" your front yard.
If you want semi-privacy AND walking or riding (bike or cart) distance to town, I think you would want to go south of town a bit. If you want "real" privacy, and pay a boat taxi for a ride to town, then you want North, IMHO.
Not sure where Casa Azul is, so can't tell you how far north it is. You can check out our villa, 4.5 miles north, at //www.ambergriscaye.com/villadelsol
If it suits you, send me an e-mail.