Please please trade for Lars Nootbaar! That name just screams Minnesota.
Seriously though, I think Carlson would be a better fit than some of the names I've seen thrown about. That said, I don't see a package that would get it done. The Twins organization is not deep in pitching, and they will probably have to add another arm in the off-season. The Twins should be clinging to young controllable arms like Varland and SWR, and I don't see the Cardinals taking more outfielders in return.