I think you are overestimating the idea of the division improving. The Eagles have only done resignings so far, the Cowboys broke the bank for Leonard fucking Davis, and when the Redskins have a round FA signings that actually add up to anything then I'll start to worry. If your team was hurting before this offseason's FA crop, chances are it will still be hurting no matter who you sign. Fucking awful is being generous.
If they weren't in the division, Tra Thomas would probably be available for the right price with Winston Justice waiting in the wings.
Plus, to be fair, looking at this part from a John Clayton article it looks like they tried to do something about LT