Well, this was an interesting one. I did manage to delete "Intel Network Connection Drivers", but it wasn't exactly easy to do. I did download the new set of network drivers from the file mentioned by Rollback_Jockey. And that did install one driver module from an INF file. But doing this was not easy either. The net result was a saving of about 2,5 GB of boot drive space. I never did a Macrium backup (talk about living dangerously at 1 AM), but I did create a new Restore point before I started. Here are some interesting tidbits about the whole process.
1. I never was able to actually find the "Intel Network Connection Drivers" on my boot drive. I looked all over for it too. I'm guessing it was set to be a Hidden file, and I never bothered to make Hidden files visible.
2, After getting the driver download file and unzipping it, because of #1, I wasn't sure where to put it. But since "Intel Network Connection Drivers" was listed as a program file in Settngs/Apps I put it in a new directory under Program Files. I thought it was odd that Settngs/Apps listed it, but did not show a size for it.
3. Installing the new driver was tricky - I had to do it by going through the manual "I have a local driver file" and pointing it at the new directory from #2. When I did this it listed only one INF file, but appeared to be happy with it. I rebooted just fine after installing the new driver and it worked OK.
4. At that point i went back and deleted "Intel Network Connection Drivers". I still have no idea where it got deleted from, but it is definitely gone. I should have looked in the C: Recycle bin, but at 1 AM i just didn't think to do that.
This whole process started when I used the Uninstall Manager piece of the Glary Utilities app. I've been experimenting with Glary for a little while and it seems to be quite effective. The Uninstall Manager piece shows all installed programs/apps sorted by decreasing size, and "Intel Network Connection Drivers" was right at the top. That's what got me interested in this whole process. At any rate, it's gone now and I did get a bunch of free space back.
Thanks to glasskuter for the link to RAPR - I've seen mention of that before but never tried it. That might be an easier way of dealing with issues like this one.