I say sign him to a cheap contract/keep him around until the team knows they have someone better than him there. That said, you'd be hard pressed to find any #4 guy that's better than TQS unless you're looking at the Bills or Chiefs.
Why? It isn't like he's going anywhere...don't even waste the space right now, if we get to the end of camp and we still don't like what we have then we can bring him back...he'll be available.