I don't know about an exact 1:1 PvE copy of the Ettenmoors since the zone was designed from the ground up with only PvP in mind. But I do agree that there are stories to tell for that part of the world.
I think an argument could be made for relocating the current Ettenmoors a little to the northeast. Of course, I'm no dev so I know nothing about the technical challenges it would pose (I can only guess at the difficulty of changing the coordinates of every single thing and the complete mess it might create), but it would benefit the game world's connectiveness in several ways.
Take something like this (left is how things are in the game, right is my totally-not-feasible-idea :D):
https://i.gyazo.com/2f8647fffb762679...3da708f479.jpg -> https://i.imgur.com/QDRqByp.jpg
Moving the PvP zone to the northeast would allow for a wider space for "Rhudaur", instead of having to work with the relatively narrow gap that currently exists between the North Downs and the Ettenmoors. This zone, as previously debated around here, would be where the original capital of Rhudaur was located, and basically the homeland of the Hill-men that joined Angmar. There would also be more space to fit Mount Gram somewhere in the northern parts of the region.
And at the same time, we would now have a decently sized gap north of Trollshaws that could be its own zone, a part of "Rhudaur", or an expansion of the Misty Mountains region. I've named it Edge of the Wild on my image, for it's a term used by Tolkien several times during The Hobbit for an imaginary line that crosses this space (
and where Karen Wynn Fonstad placed that name on her Eriador map), but they could name it something else, like Etten-something). This zone would act as if it were a PvE version of the Ettenmoors, expanding and fleshing out the lore about Rivendell's role as a bulwark against the north, and I think it might entice more players to try the actual PvP Ettenmoors after completing the zone.
Lore-wise, I think it makes some sense for the Ettenmoors to be a more remote and cold place than its current location in-game, even if it's not really an issue since the area isn't reachable on foot anyway. But I do feel that the region might be placed a little too close to Rivendell and the Trollshaws, while the Steps of Gram at the northwest still seem a little too far from Angmar.
Connection-wise, "Edge of the Wild/Ettendale/Ettenreach/Ettensomething" would offer an alternate way to reach the Misty Mountains' region, bypassing Rivendell. As has been said here before, Rivendell is supposed to be a hidden place that not that many people know about, but at the moment, in the game world, everyone just has to go through the place to reach the High Pass and cross the mountains. That issue would be fixed after this. This zone would also link with the Northern Trollshaws, the hypothetical "Rhudaur" region, and of course the PvP Ettenmoors (even if it's through a portal or stablemaster). I added a connection with Rivendell too, since that would be the path taken by the Elven armies to reach the moors.
https://i.imgur.com/qRzaYGh.jpg
/end-of-fanfiction ;)