Yes. Good news. I installed said build of Crossover last night on various PC's.
PC running the 32bit and 64bit build of Ubuntu 12.04 beta one, SWTOR failed to run.
However, running PCLinuxOS, Ubuntu 11.10, and the most recent stable builds of OpenSUSE and Fedora all ran fine.
I lost maybe 3 to 5 fps max but other than that it runs well and looks fantastic.