I think all you really need to do is move either the Soulforge, or the anvil, a couple squares one way or another - or maybe just leaving them where they are, and walk around to where you get the Smith menu instead of reforging, may work.
If you have a smithing press addon (the vet reward tool that is fueled by regular tools), you could even use it as a spacer between the soulforge and forge, and have an anvil on the opposite side from the soulforge. Or you can stick a BOD reward anvil elsewhere in the room as deco, but use it for runic crafting with your fire beetle standing next to it.
Where you can have the biggest issue, is if you have the Soulforge on a different floor, directly above or below the regular anvil.