How do I update my Samsung Captivate to Froyo (2.2) ?

I tried the OTA update and i messed up so I have to wait until tomorrow to do it again, but I don't want to wait. I tried mini kies but it said its up to date. I currently have the stock 2.1. Help?
I backed it up, wiped, restored, went to the update, and it said connection failed. I now have to wait another 24 hours.... FML

Is there anywhere I could get the update from on my computer so I could just link up my Captivate to the computer?
 
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