Your post subject: Don't build a Big pot and Abandon it...How?
1. Fold preflop.
2. Don't rr twice - rr once to show strength, then ease up.
3. Call the river.
When I get in these spots (and I do, all to often), I just grit my teeth and call the river bet. All things equal, I'm generally waiting for a better (postflop) hand to look this guy up with.