Honestly I think the $5 bet looks more suspicious than just betting $10 or something more in proportion to the pot. I would typically bet super small with air, and then size up on the turn to fold out all the other airballs that floated the flop. With value, I'd size up a little on the flop, and then just go a little larger on the turn.
So, bet $10 on the flop, and $20-$25 on the turn. Just keep laying opponents insanely good odds to continue.