Re machining-induced residual stress, it can occur, but is *usually* (not always!) overwhelmed by whatever was in the billet/plate/forging before machining.
Note that an as-forged part will almost certainly not be free of residual stress, even if it is a simple forged block (as is likely for x51 - it's hard to do a controlled stretch on more complicated geometry). Many SCC failures have occurred in the past for forgings subsequently undergoing significant machining.
Your block should be solution treated after forging, which involves quenching from a soak at 1000 F. The quench itself is likely to result in residual stress. Having said that, 2219T851 gets an SCC A rating (good!) even in the ST grain direction, and the T851 heat treatment seems to be a rather long 18 hours at 350 F after a cold stretch of 1.5-3%. Thus the cold work and aging treatment look like a pretty good stress relief op.
If your worry is tolerances being spoiled by spring after machining, then try to take the part from the middle of the block, or at least symmetrically distributed about the middle; a part with a half its thickness from near the surface and half its thickness from near the center will have a greater distribution of residual stress in it, increasing deformation. Also, avoid heavy cuts, especially when machining near the final profile (duh!).
You could also consider aging after machining, possibly with the part held "flat" in a jig (EXTREME care must be taken to establish limits for flattening in such circumstances, to avoid exceeding dangerous stresses), but there may be an issue with delay after the cold work. I would have to seek further advice on that point. Anybody?
Finally, peen forming can be a very effective and safe way to correct final part deviations from tolerance, provided strict limits are set on the amount of deviation which can be so corrected.