Network unusable (>1s-5s pings) on e1000e

On DELL 7060 MicroFormFactor (MFF) machines with Intel network cards, installing any kernels above, but not including 4.15.0-20, break the network connectivity of the machine.

Latest kernel where network card works:
linux-image-4.15.0-20-generic 4.15.0-20.21~16.04.1 amd64 Signed kernel image generic

Tested kernels where network card breaks:
4.15.0-22
4.15.0-33
4.15.0-36

# lspci -nn -d ::0200
00:1f.6 Ethernet controller [0200]: Intel Corporation Device [8086:15bb] (rev 10)

BIOS Information
        Vendor: Dell Inc.
        Version: 1.2.14
        Release Date: 09/06/2018

To reproduce the issue:

1. Install any kernel starting on 4.15.0-22 or above
2. Boot the machine with the new kernel
3. ping the gateway (pings are in the sub 1ms range)
4. Attempt to do things that use the network, i.e. apt update or scp, etc. It may take a minute or so before things get hung, i.e. you will see apt update progress stop and the transfer rate drop down to just a few kb/s or simply say stalled.
4. Now ping the gateway again and you will see 1-5s pings, dropped packets
5. At this point network is no longer usable

ProblemType: Bug
DistroRelease: Ubuntu 16.04
Package: linux-generic-hwe-16.04 (not installed)
ProcVersionSignature: Ubuntu 4.15.0-20.21~16.04.1-generic 4.15.17
Uname: Linux 4.15.0-20-generic x86_64
ApportVersion: 2.20.1-0ubuntu2.18
Architecture: amd64
CurrentDesktop: Unity
Date: Fri Oct 19 10:35:08 2018
InstallationDate: Installed on 2016-08-25 (784 days ago)
InstallationMedia: It
ProcEnviron:
 TERM=xterm-256color
 PATH=(custom, no user)
 XDG_RUNTIME_DIR=<set>
 LANG=en_US.UTF-8
 SHELL=/bin/bash
SourcePackage: linux-meta-hwe
UpgradeStatus: No upgrade log present (probably fresh install)
---
ApportVersion: 2.20.1-0ubuntu2.18
Architecture: amd64
AudioDevicesInUse: Error: command ['fuser', '-v', '/dev/snd/by-path', '/dev/snd/hwC0D2', '/dev/snd/hwC0D0', '/dev/snd/pcmC0D10p', '/dev/snd/pcmC0D9p', '/dev/snd/pcmC0D8p', '/dev/snd/pcmC0D7p', '/dev/snd/pcmC0D3p', '/dev/snd/pcmC0D2c', '/dev/snd/pcmC0D0c', '/dev/snd/pcmC0D0p', '/dev/snd/controlC0', '/dev/snd/seq', '/dev/snd/timer'] failed with exit code 1:
CurrentDesktop: Unity
DistroRelease: Ubuntu 16.04
HibernationDevice: RESUME=UUID=726e9457-64eb-4ea3-9304-30bf6c37b9de
InstallationDate: Installed on 2016-08-25 (788 days ago)
InstallationMedia: It
IwConfig:
 lo no wireless extensions.

 enx00e112002c6f no wireless extensions.

 eno1 no wireless extensions.
MachineType: Dell Inc. OptiPlex 7060
Package: linux (not installed)
ProcEnviron:
 TERM=xterm-256color
 PATH=(custom, no user)
 XDG_RUNTIME_DIR=<set>
 LANG=en_US.UTF-8
 SHELL=/bin/bash
ProcFB: 0 inteldrmfb
ProcKernelCmdLine: BOOT_IMAGE=/vmlinuz-4.15.0-20-generic root=/dev/mapper/aevg-root ro quiet splash vt.handoff=7
ProcVersionSignature: Ubuntu 4.15.0-20.21~16.04.1-generic 4.15.17
PulseList: Error: command ['pacmd', 'list'] failed with exit code 1: No PulseAudio daemon running, or not running as session daemon.
RelatedPackageVersions:
 linux-restricted-modules-4.15.0-20-generic N/A
 linux-backports-modules-4.15.0-20-generic N/A
 linux-firmware 1.157.20
RfKill:

Tags: xenial xenial
Uname: Linux 4.15.0-20-generic x86_64
UpgradeStatus: No upgrade log present (probably fresh install)
UserGroups:

_MarkForUpload: True
dmi.bios.date: 09/06/2018
dmi.bios.vendor: Dell Inc.
dmi.bios.version: 1.2.14
dmi.board.name: 04MFRM
dmi.board.vendor: Dell Inc.
dmi.board.version: A01
dmi.chassis.type: 3
dmi.chassis.vendor: Dell Inc.
dmi.modalias: dmi:bvnDellInc.:bvr1.2.14:bd09/06/2018:svnDellInc.:pnOptiPlex7060:pvr:rvnDellInc.:rn04MFRM:rvrA01:cvnDellInc.:ct3:cvr:
dmi.product.family: OptiPlex
dmi.product.name: OptiPlex 7060
dmi.sys.vendor: Dell Inc.