I'm reasonably certain that no established school of thought has brought such a nihilistic perspective to the veil of ignorance.
This seems like a critical misunderstanding of the original thought experiment. The basic idea is to make decisions that ensure the best outcomes for all by eliminating, as much as possible, the biases of personal self-interest. It's an extension of the Kantian concept that moral laws must be universal and disinterested.
If your belief is truly that the best outcome is immediate death for all, then no philosophical perspective is going to lead to any different result for you.