I need tips on how to ask for the next iPhone?

I'm planning on calling Asurion later about my phone since I got horrible service at the Apple Store at Crocker Park and I was wondering if anyone has any tips on how I can ask Asurion to give me an iPhone 5 instead of an iPhone 4S.

You can ask all you want, but it isn't going to happen. Your insurance was for an iPhone 4S, & that is all they are obligated to supply.