ok tested on Ubuntu 14.04 64 bit using Crossover 14.1.4
Create a new Windows XP bottle and install the following.
CrossoOver HTML engine
DirectX 9
Microsoft Visual C++ 2008 Redistributable
msls31
Microsoft File Patch Application API
Microsoft Rich Edit 2.0 & 4.0
Wine Gecko (32 bit)
I downloaded the client from the SWTOR website. Then you need to run the game once it will update the patcher and then either crash or give you an error stating you need administrator rights to continue.
Navigate to the folder containing the launcher.settings file (on my install it is in ~/.cxoffice/origin/drive_c/Program| Files/Origin\ Games/Star\ Wars\- \The\ Old\ Republic)
Change the line "bitraider_disable": false to "bitraider_disable": true and save the file.
Restart the patcher and you should be able to download the game ok.
Now to run the game
Next you need a copy of swtor_fix.exe from here:
https://github.com/aljen/swtor_fix
I put this in the same folder as Launcher.exe in the SWTOR folder.
Under the "manage bottles" option of Crossover use the RUN command to start swtor_fix.exe and leave the terminal window open/running.
Now start Old Replublic from your normal shortcut and the game will start.
Couple of notes: