I'm not familiar with WineBottler, but others have tried using WINE, and FieldWorks does not work there, although Toolbox did.
Basically, WINE is an emulator (in spite of its name?), and FLEx only runs on actual versions of Windows. There are three virtual machine programs that people have used successfully with real Windows and FLEx: Parallels, VMware, and VirtualBox. BootCamp also works. Basically anything that involves installing real Windows.
FieldWorks also runs in Linux, specifically the Ubuntu flavors (Precise and Trusty right now), as well as the Linux Mint versions (since they are built on the Ubuntu ones) (Linux Mint 13 maya, Linux Mint 17 qiana, Linux Mint 17.1 rebecca). And it runs on debian.
Sorry that is probably not what you wanted to hear.
-Beth