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To my way of thinking it is not likely that another system component besides the motherboard could exhibit this pattern of behavior. Besides, there is nothing to do but start replacing components one at a time and it seems logical to me to start with the motherboard. There is no guarantee but I can tell you this is what I would do and I've been building and troubleshooting systems for almost 20 years. It's time for you to move off of dead center. Nothing will get fixed if you don't start taking some action.
Ram can do this very easily
OP states he has removed, swapped, switched, etc. RAM modules to no avail.