Or just ask if he can do a quick check to see whether it needs calibration or not.
That's pretty much all you'll get for a "non traceable" calibration from an actual calibration shop/guy.
You might be able to wrangle some pre calibration reference vs reading plots at for a lesser price.
This is more likely from a large calibration operation or a guy that has A LOT of gear. They're more likely to have gear that is out of date but perfectly usable for generating a few plots.
To OP: Do you have any friends that work at a medium to large manufacturing company that even remotely has something to do with EE R&D/assembly of outsourced electrical stuff? If so, there is likely a metrology department that will send the meter out.
From my past experience as a design engineer (ME) working at Haas Automation it would likely take a ~month, but it'll also be free. Well, a six pack, bottle of favorite booze, dinner, whatever, would be in order.
If you have such a friend and only profiling your meter is acceptable, I'm sure they could just run some quick tests against their (or a coworkers) meter that has an up to date calibration.