Aren't you over complicating this?
If your annual dosemitry and timer calibrations are up to snuff, you already know that the "correct dose" is being delivered by the irradiator. What you want to do is validate, upon receipt, that each new lot number is functioning as expected.
There is usually an indicator shipped with each box/lot - first document that the indicator documents the received stickers as valid for use.
Now put a sticker from the "old" lot number and a stick from the "new" lot number on a unit (this can be done during normal workflow) and nuke em. They should compare favorably, if they do the new lot has passed receipt verification and If they don't the new lot "fails" and needs to be returned to the vendor or some other corrective action needs to be pursued.
Your dosemitry mapping should very precisely tell you where the radiation is being delivered and the physics of it are concrete. If you have a calculator and a calendar you can perdict dosage for years in the future. All the "Rad Sure" stickers due is give you a visual clue that you have, indeed, irradiated the unit so that you do not irradiate it again in error.
At least that is my take on it. I am at a registered facility (not a licensed facility) so your requirements may vary.