Don't blast off with draws on dry boards; use small sizes to keep bluffs efficient and check-call to realize equity when you improve.
Flop Analysis
Betting over 11x the pot is a massive strategic error. While we have an open-ended straight draw, we want to bet small to keep Villain's range wide and realize our equity cheaply.
Note: Massive overbet on a dry board. A small 33% pot bet or a check is preferred to keep bluffs efficient and protect our range.
Turn Analysis
After the massive flop mistake, we have turned second pair and still have our draw. Checking is the only play to try and realize equity or bluff-catch.
Note: Shoving here is unnecessary. We have significant showdown value with second pair and a draw; checking allows us to see a river for free.