The years we're talking about is 1477 to 1478-9 (I believe). Basically, immediately after Charles the Bold's death. If we allow Charles the Bold to live longer, then when Louis XI dies in 1483 (this will also require Mary of Burgundy not to fall off her horse in 1482) the "Mad War" over Charles VIII's regency begins. This civil war would take up the rest of the 1480's and would leave France unable to capitalize on Charles the Bold's death.
So there actually WAS a civil war that was being fought at that time. Just hold off Charles the Bold's death for a few years, and you've managed to get Burgundy past the clutches of the Spider King. This would also allow the Hapsburgs to be able to establish more power in the Burgundian inheritance. IOTL when Mary died in '82 the Dutch cities (with Louis' support) were able to rebel and get concessions out of Maximilian. With Charles the Bold's continued life, the loss of French Burgundy, and the rebellion of the Dutch cities, is probably betterflied away.
Despite the butterflies from Charles the Bold's living, the Hapsburg are still the logical choice for Mary's marriage, because they guarenteed the continued independence of Burgundy as its own separate political entity. I also don't think that giving Charles the Bold these few more years would mean that the "Kingdom of Beligica" or whatever, would come into existance. The Hapsburg HRE will not be granting Charles a crown, end of story.