first off let me go on record saying hyper turbos are stupid - nothing but a bingo game
with that being said, you approach shootouts as you would a sng, since that is essentially what they are. Hyper turbo you just play somewhat super-loose and pray...you really have only about the first 5-10 minutes to wait for a hand, then the blinds are way to high for you to even have a choice in the matter anymore.
since its a shootout, I assume you have to come in first to move on to next round, with this in mind you probably have to play even looser and hope to get lucky