I'm running A.D. 1257 on Linux Mint 18 right now without Wine. This is possible because I'm using the SteamOS version of Native Warband (with this mod simply dropped in its modules folder). No emulation required.
If you own the Steam version of Warband, and are running Linux, you can download and run it in the standard way via the Linux-specific Steam client. After initially confronting some stability issues (common ones that even many Windows users were having), it now runs flawlessly. My guess is that this is your best option; I think it unlikely that you'll get the Windows version running flawless in Linux using Wine.
R-800
Richard joined
Games are good. Modded ones are better.