My 360fgz swiveled! After it had a quick meeting with the garage floor.
As for some of the other flashes mentioned...
I also have a Vivitar 285HV, along with a pair of 283s. My 285 gets used more than my 540 because it connects to my radio trigger, where the 540 doesn't. I do use the 540 in wireless mode with the camera when preflash won't be a problem, but if I have other lights set up with optical slaves it is a problem. The 283s are usually the ones on the optical slaves.
Since I use these Vivitars so much it should be obvious that I shoot mostly in manual, so TTL/P-TTL is not an issue. Those big old Sunpack flash guns, or potato mashers (so called because the front of the flash resembled a potato masher), would work wonderfully, as long as you don't connect directly to the camera. If you use a wireless system you are covered.
If you have not already checked it out you should try this site....
Strobist
I have been using hot shoe flashes off camera for years, but I still learn a lot of neat tricks at this site.