Tech is small potatoes in the global financial system, and the losers in a unicorn bubble burst are a small set of private investors. I doubt there will be any bailout for tech, nor will there be any major hangover like the dot-com bust. Rather, a few entrepreneurs and investors who made bad bets will exit the market, and their places will be taken by new entrepreneurs and investors who were more prudent. Capitalism at its finest.
If we're predicting upcoming bailouts from this crash, I would bet on U.S. oil companies and everything big in China. China could potentially cause a massive earthquake in international trade.
The student-loan bubble is also a massive debt overhang that could cause huge repercussions, but I don't see a trigger that would cause it to burst.