have a better resonance with vs have a bigger resonance with

Some examples from the web:

• Unless you have a better suggestion.
• Unless you have a better idea.
• I have a better chance of being happy if I'm honest.
• You may have a better luck without the sunglasses.
• Shame you didn't have a better history teacher.
• - You'd have a better shot at Bill.
• - I have a better idea.
• I have a better nickname for you.
• I hope you have a better plan than this.
• We can assume you have a better idea.
• And I have a better suspect.
• I think we have a better chance of succeeding if we wait.
• But I have a better use for you.
• After 30 years I thought you'd have a better pension plan annuity.
• A donkey would have a better chance of marrying the prince.
• Besides, maybe a new leader would have a better sense of history.
• You have a better shot at banging the pope.
• I thought it was funny, but if you have a better story...
• They should be able to have a better life.
• I think I have a better idea.

Some examples from the web:

• These twins have a bigger office.
• We may have a bigger problem than recovering Sergeant Silva's body.
• You have a bigger responsibility now.
• You have a bigger appetite than Muk Goo.
• And the bomb techs say we have a bigger problem.
• But we have a bigger problem.
• Listen, we have a bigger problem to deal with.
• I have a bigger surprise, Stefan.
• I have a bigger knife now.
• Now we have a bigger dream.
• Miles tell me you have a bigger trunk than this.
• I think we have a bigger problem now.
• You have a bigger fight, my friend.
• Then we might have a bigger problem.
• You have a bigger destiny than helping one boy.
• I think you have a bigger problem.
• We may have a bigger problem, Those turrets.
• I have a bigger knife now.
• We have a bigger issue here.
• But it would be nice to have a bigger place.