Hey, I feel your pain-- I live in the East Hollywood Hills, and when I got my first atomics? I constantly tried to synch them manually, automatically, and every other way, but NOTHING seemed to work. I think one of my Citizens would synch manually about every seventh time I tried it, but no joy for any of ther others. I put them on the diving board, on the windowsill, I kept notes of what I'd tried, I read tons of forum posts here and elsewhere... and my GWM5610 in particular never synched manually. Not even once.
Finally, I just gave up, and put them in a watch box on my bureau-- not an ideal place at all-- and forgot about checking them for months.
Imagine my surprise when, 60 or 90 days later, I checked them against my digital atomic clock, and the atomics were the only watches that were all dead on, including the GWM5610. All of the others were off by a few seconds.
Some of the atomics indicated they had synched the previous night, others had synched at some other indeterminate point.
That's how it is now-- all the atomics are always right on time, they always agree with my atomic clock. So my advice is: Just let them sit for a few weeks, and then check them again (if you have an atomic clock.) There's some kind of alchemy to this with humidity and temperature or whatever. I never figured it out. As a practical matter? I know I can totally rely on all my atomics. It doesn't matter if they synched last night or nine days ago.
Traveling, yeah-- this is frustrating. I don't usually travel with atomics, though I do remember that the Citizen Perpetual is usable in this regard, it has synched manually in airplanes and in New York and London. Now, if I need to travel with a very accurate watch, I bring a Bluetooth watch, which can synch anywhere my phone is.
Try deliberately setting the GWM5610 five seconds fast or slow, leave it in some random place off your wrist for a month or so, and just try not to think about it. I bet it will synch.
Sorry that is such unscientific advice!