When texasoil mentioned the transmission mount it reminded me my former vibration. I searched the archives for every thread on the subject and decided to try replacing the transmission mount - that fixed it, and others have also said it fixed theirs too.
My vibration was centered a bit higher than yours, but otherwise very similar. Mine was worst at 2250 rpm in all gears and it diminished as the rpms went both higher and lower. I had also decided to try the exhaust hangers if the transmission mount didn't work.
Here's a thread from wes on the subject:
BTW, my transmission mount was a fuggin mess - REALLY bad.
zerothread?id=92683
His wasn't the transmission mount, but there's good info from everyone in the thread.