I don't expect the Sox to clear up the logjam until they actually have the logjam. If they sign Martinez, then maybe they start exploring trading Bradley again.
I know a lot of fans think this hurts Bradley's trade value, but it really doesn't. If other teams want him, they'll make their best offers they are willing to make. If multiple teams are interested, which is likely, then teams do have to outbid each other. Bradley's value is based on his performance, salary, years of control, and how badly or not other teams want him. Not on the Sox depth chart...