Wow, that brings back some memories. My degree is in electrical engineering but my first job post college was in a machine shop, in part working on maintaining the CNC machines. I think we had one or two tools with something as new as a 6t (this was in 1988). The more I see, the more I may remember, so I will definitely be paying attention to this thread and if I can think of anything I will definitely pass it on. The only fuse blowing incident I remember was not on the board but the spindle motor, caused by a rather incompetent operator. Fuse blew, we replaced it, told the operator to resume. As soon as the tool contacts the stock, he uses the feed rate override to crank it to maximum. Spindle stalls, fuse blows. Replace second fuse. Instruct operator not to do that. Same thing. Find his supervisor, explains what is going on, he shifts the guy to a different machine and brings someone else over, 4th fuse, and everything's fine.
From an electronics standpoint - I would check the capacitors. Might have cooked one or more over time. On electrolytics, look for bulging, or actual signs of leakage of the electrolyte. Perhaps check the resistance on the power rails, it could be low but not low enough to trigger the continuity indication on your meter, which may be enough to case the total current draw to exceed the fuse rating.