Thanks, archimense!
I finally managed to get it to work (on my laptop, at least).
First I installed the latest version of Kies, version 1.5.3.10093_82. The InstallShield wizard sort of hung around in an awkward way, though. I restarted the laptop, started Kies, and connected my phone. The phone didn't connect, though: Kies just kept saying "connecting to device" and I still had exclamation marks in the Other Devices section of the laptop's Device Manager. I also had a strange message pop up saying that new drivers had been installed and I needed to restart my computer. I might have ignored the error at this point, and given up for a while.
I tried to install the Samsung drivers that you provided the link for, but the install failed, saying that drivers were already installed. At that point I restarted my laptop. This time the connection worked--I told the phone to start in Kies mode, and it connected properly to Kies.
In the end this was a bit of a struggle. People who are not very familiar with computers/install procedures/driver issues might get lost quickly in all of this. I'm just happy I've managed to solve the problem on one of my two computers...now off to fix the other.
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