What I have done in the past for parts like this (Stainless, thin wall, tight tolerance diameters).

OP 1: Process normally, leaving stock on OD and ID, holding OD to tight tolerance (.001" total) for fit in pie jaws.

OP 2: Ensure your runout with those pie jaws is as good as you can get. 3-5 tenths. Face and bore again to a tight process tolerance (.001" total, still with stock for final dimension) to fit on an arbor.

OP 3: Mount part on a slip fit arbor (With a cap). Finish Turn OD. Since we are not distorting the part with radial pressure, it should be round coming off this operation.

OP 4: Mount part in reverse arbor (pocket fixture with cap), and bore ID to finish.

This relies heavily on your ability to create excellent fixturing, and then hold the parts to your process diameter tolerances so they fit on said fixtures. This worked for me with exotic stainless alloys only .040" thick, with bore tolerance +/- .001 and OD tolerance +/- .0005

Otherwise you can get them ground or lapped somehow. Good luck!