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3G: Down = 180. Up = 114 (kbps)
4G: Down = 1660. Up = 359 (kbps)
Getting a S3 is not going to increase your 3G speed. That's the carrier network (mostly). But I would say it sounds like you have nice 3G (compared to me).
but you got 4G is all goodSpeed is going to depend primarily on the service in your area. It's not going to be handset specific
I'd recommend against a PRL change. It's a grey area at best. Worst case scenario is that Sprint doesn't like you force roaming on Verizon's towers and cuts you off. I think it'd be best to wait for Network Vision to roll out in your area.
And, btw, your speeds beat out mine. That ping looks odd, but could be a fluke. Overall, I'm missing WiMAX right about now, but hopefully they light off LTE here soon.