Sounds like the coating bake is a 500oF residual stress relief, when the yield stress (0.2% offset) drops to 5 ksi.
A) Try rough machining the bore and any other large volumes of material removal and/or critical dimensions, then performing a stress relief bake before finish machining. This is sometimes necessary for precision parts, even after T51 or T71 stabilization.
B) If Method A) is inadequate, you need to do a more complex thermal stabilization: stress relief bake, rough machining, cool to -150oF for 2 hours, heat to 475oF for 2 hours, then finish machine.
These temperatures are for 356. Look up stress relief and stabilization in an aluminum casting book (or ask your foundry). Also, the coating bake time is probably too short to completely stabilize your item vs. residual stress effects in service, so you need some additional thermal treatment, regardless.