I want to flash my my Skyrocket I-727. There's an issue, though: My USB conneciton isn't recognized on any computer
What you need to do is head over to sammobile.com and download the latest firmware for your phone, then using Odin you can flash the new firmware.

If your driver issues are software related then this will work because Odin uses your phones "Download Mode" and that is a different driver all together, and if your truly stock and not rooted there is no way you could have changed it.

Samsung Kies will come with the needed driver for download mode to get that too if you don't already have it.

Also you can check out forum.xda-developers.com there is a lot of useful tools and guides there.

Another option if the Samsung Kies for skyrocket supports it is a firmware emergency recovery. It will install the latest firmware, and use download mode to do it.