I played a super weird hand today and I have no idea how I should approach any of the streets postflop after BU min-raised. Villain is not fully stacked so probably a weaker player.

So OTF I range c-bet as on all dry K-high boards. His min-raise is super weird, but I thought I have to defend quite a bit vs. this size after betting all my holdings initially and I just can't fold with Ace high and backdoor equity. After the turn is check through, I have no idea what Villain might have, but it certainly does not look like value. I'm beating pure bluffs, and I decided to bet in order to fold out random two cards that spiked whatever type of showdown value on one of the streets (Qx, 5x).