Finding center is becoming a nightmare

Try creating some tooling. This is what I made for my bottle openers. Just scale to your size, then you can use your corner touch probe on the corner of the front left corner. That was you have a known distance from setpoint to center. Program it off that corner and your repeatability should be spot on.

https://www.etsy.com/your/shops/me/listing-editor/edit/1456953753

it’s so funny that you just sent me that, I was in the middle of creating something very similar, but since you already have it done then I’ll just use yours lol

As long as the diameter is consistent you will be spot on.

Do you have a laser? I may get some laughs at this one, but when I do projects with round stock, I go the lazy way and have my JTech cut me a circle out of paper and another small circle (usually .125) in the center and just tape it on the work piece. Then I manually center a .125 bit over the center hole and run with it.

Starrett back plunger dial
The maple round is rough on outside
I marked it like a compass for reference only
East and West are dialed zero
North and South are zero and minus .005
I have done rounds up to 24 inch using this method.
I flatten face and machine outside true deep enough so that when i flip the round over i can then dial to machined area. Wood may not always be dead on round after machining so splitting of difference is required ie: East and West are zero and zero and north and south are minus .0025 and minus .0025 hence the spindle is on center