Wild are way too far back to give up quality assets for a rental.
I get the goaltending, because IMO it was worth it to see if it was the team, the coach, or the goalies who were bad. You needed that information to assess the team in the offseason.
I don't think the Wild should give up quality prospects or top 3 round picks for a depth defender. We all know they need one.
I would be intrigued in a fit-for-fit trade, but nothing springs to mind. Wild need a young-ish #1 center, but I don't see them moving Brodin+ to bring one back. They are set on the wing and in the top four, and they already traded for a goalie (and shouldn't give up big assets for a goalie IMO).
If it comes to a third line center, just move Coyle there. Who cares? He'll get you 10-15 goals and 30-40 points. That's fine for 3rd line center.