except for the prevailing belief in germany and austria-hungary, more so the latter, that by 1914 the international system, such as it was, was rigged against them (it was) and therefore had to be circumvented if either country was to avoid a slow death as a great power (it did)Actually, Germany, Russia, France and Austria-Hungary had successfully averted several war scares in the decade leading up to WWI. There's no particular reason they could not have done so again.
austria-hungary had arrived at this conclusion precisely because of the avoidance of war scares in 1912 and 1913, when the germans deliberately failed to back austria up against serbia in order to maintain 'continental peace' and their detente with the french and russians; as a result, austria's situation had only gotten worse, with serbia even larger and more powerful and bulgaria, the prospective ally, weaker and humiliated after the second balkan war
this had soured the habsburgs on the entire notion of the german alliance and meant that at the next crisis they would threaten war with serbia regardless of german support (another reason why the 'blank check' was garbage)
the only way that this could seriously be averted in the immediate prewar era is to change russian diplomats' perception of events (horribly skewed); they, like the french and british, did not consider austria-hungary to be a great power worthy of respect or even a sovereign state whose territorial integrity must be maintained for the sake of peace in europe, and even created partition agreements before the war (including ones in which russia, of course, was permitted to annex galicia)
treat austria-hungary as something similar to the ottoman empire of the nineteenth century - a power that ought to be maintained not just for its own sake but for the sake of peace and the interests of the rest of europe - and perhaps that sort of thing might change; like pch said, why not have another diplomatic congress, impromptu or otherwise, to settle all of this?
of course, there was a realistic reason for this: the russians and french and british had no interest in preserving austria, and the austrians had no faith in the ability of such a congress to uphold their due rights as a sovereign power (and they were right) - everybody had seen what happened when congresses were called, namely, that the side with the most votes won, and the russians, french, and british could outvote austria and germany three to two (if italy were included, four to two), regardless of the 'rightness' of austria's position or the serious danger to the entente powers' national interests if austria ceased to exist