Intl I9300 on US ATT or Tmobile - who gives H or H+

Hi all,
Earlier during my stay in USA I always had to settle with Tmobile since they have many visitor friendly plans. But I just used to get Edge on my galaxy S on Tmobile.
Didnt try ATT since their plans weren't great.

Will that situation improve with S3 I9300 ?
Can Att or Tmobile, any one of those give me H.

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