So I have been trying to figure this out and i have narrowed it down a little. Even though new routers will work with both rigs for around 16 hours before they connection becomes choppy. The routes dont actually seem to be breaking, they just stop working with the Linux rig. They work fine with the windows 10 rig and my normal computer running windows 7.

As soon as i plug the linux rig in they internet becomes choppy.
I have tried this system with just 3 video card same problem persists.
used different Ethernet cords.

Replaced the Modem:Did not fix the problem.

Any thoughts on what i should fix on the rig to resolve this problem? maybe get another NIC ....?