Based on what I’ve been told by an expert in the Realtek chipsets:
Realtek chipsets are the best in terms of compatibility with both Mac and Linux.
I’m not a Mac user and so I don’t have any first-hand experience or knowledge about how to configure. But I think that your best bet is to download drivers from the realtek website.
Will very much appreciate if Mac users will post comments about their experiences with the Alfa AWUS036H.
Alfa AWUS036H has a realtek chipset.