Section 7.1 Actions to Conserve Time - Illegal Acts (from the bold section below marked Penalty):
If the action is by the defense, the play clock will be reset to 40 seconds, and the game clock will
start on the ready signal, unless the offense chooses to have the clock start on the snap. If the
defense has timeouts remaining, it will have the option of using a timeout in lieu of the game
clock being started.
The end result of this will be far worse than the play being started. By preventing the snap you could cause an additional 40 seconds to run off the game clock (because the offense may choose to have the clock start at the ready signal).
Additionally, the same document states (7.3):
Article 3 - In the last 40 seconds of either half, if there is a defensive foul prior to the snap while time is in, the
half will end, unless the defense has timeouts remaining, or the offense chooses to have the Game Clock
start on the snap.
Overall this is an unworkable strategy. Your best bet at this point of the game is to force a turnover or hope there is enough time left for a turnover on downs.