Sound like something intermitant then, more likely to be electrical than mechanical perhaps.
Is the problem just as bad on both LPG and petrol? if so it suggests it's not a fueling issue and the clean plugs add weight to that. If one was black for example I'd think leaky injector.
You can get OBD readers that connect via bluetooth to give you live data as you drive, you could look for a sensor going out of spec as the problem occurs then.
Alternatively do you have the software for installing your LPG system? mine would allow me to look at things like injector pulse timing as live data, you can use this to see how the ECU responds to the inputs it's seeing.
Just a few thoughts, here's hoping it's something simple and cheap to fix.