Hyperdriver is a combo card, it is best used to achieve something that cannot be done in a normal 4 click turn. For example, use it with Wanton Destruction to trash the Corp's entire HQ, then immediately check archives. Or use Vamp in combination with Medium or Keyhole to tear up R&D.
The most awkward part of using Hyperdriver is finding a way to fit its huge 3. Leprechaun is by far the best answer. It can even host two Hyperdrivers, for a 10 click turn!
All-nighter is an older card that has a similar effect, but less strong and much easier to play out. If you've got the spare deckslots you could include those as well in a one-big-turn deck.