I also have the same issue as the OP with the Broadcom Ethernet driver dropping my internet connection. I've also tried everything the OP did (including manually installing newer driver V 17.2.0.0), but ALL to no avail.

It got to a point where I ended up buying Plugable's USB 3.0 Gigabit Ethernet Adapter: http://plugable.com/products/usb3-e1000 and this is also dropping the Win 10 built in ASIX drivers where I have to continuously reinstall the drivers/Rollback/unplug the USB 3.0 adapter etc.......all to no avail.
Plugable support is quite good/actively communicate with me and are sending a free replacement (in case this one might be defective), but I'm a bit skeptical and think it's more of a Win 10 driver issue.....IDK.


Anyone know of a solution to this?
I'm really trying to avoid reverting back to Win 8.1 as I do like Win 10 and EVERYTHING else is working perfectly.........just not the internet.......