i've got a similar issue with the hantarex polo 2 monitor in my golden tee cab, bought it stupidly cheap as it was sold for spares due to it shutting down at random intervals (and as i'm maming it, that's fine)
soon found out it's the monitor shutting down, if i leave the back door open and lock out the door switch (so it dosent kill power when i take the door off) when the monitor dies, i can unplug the monitors power cable from the distribution block, plug it back in, and the monitor comes right back, and i could continue the game.
i too suspect a bad solder joint, i get no neck glow that i could see when it did it, and i did notice the picture jumped and there was a slight 'click' noise, sort of when changing resolutions on a pc monitor, next time it jumped it shut down.
sometime i will get round to pulling the monitor and checking for bad solder jonts, but got too many silly projects on the go atm,
would be nice to hear what you find tho, as even tho it may be a different monitor, the place to look for bad joints would be handy for a starter, as i've not messed about in a monitor before (i know which bits not to touch and all that, andhow to discharge it if needed etc)