I'm so glad you found a dealership that would help you!I ended up going to a local Chrysler dealership and asked if they would do the DTCM update for me. I took in the number that @Beta Romeo posted and gave it to the service adviser. They were eager to help and about 30 minutes later I drove out of the service bay with no flashing odometer and functioning race mode!
A sad note about my RACE mode conversion though. I actually undid the conversion as I noticed a reduction in launch power from a stop. It felt slower and I suspected some kind of torque reduction from a standing stop. Using a Dragy, I found a .4 second difference between a standing launch in D mode with the race mode proxi and without. My car is also a Q4 and repeated launches don't vary much in time as there is no wheel slip, so a difference is easily detectable with Dragy.