Rule 8-2-7: "
The batter-runner is out when she ... interferes with a dropped third strike." Intent not required. Accidents happen; she's still out.
Case Play 8.2.6 (D), paraphrased: Dropped third strike and the ball bounces off the catcher's shin. The batter runner (a) bumps into the catcher, knocking her down; or (B) accidentally kicks the ball. Answer: Dead-ball out for INT, in both cases (a) and (b).
Of course, it's classic NFHS to list a scenario covered by a specific rule under some other rule section in the case book....le sigh...