The only real lab I know of that would do an accurate measure of a DIY box is Boeing - IF they inspect your device and determine it is well-built zener reference they will measure for you at around $800 a pop. No adjustments, just a measure against several 732's that are ref'd to the JJA down the hall. They will have openings a few times a year on their measurement scanner rack, on a first-come, first served basis. They will not measure DMM's or anything other than a good zener reference to make sure they aren't wasting anyone's time. You get a small amount of shelf space, a small amount of power is supplied on a mains supply; they will plug it in and let it stabilize for a day or two and then take some measures over 18 or 24 hrs or so. You get your device back with a printout. That's it. The will certify the measurement to NIST standard, but not the device itself. If you want accurate drift data you keep sending your device in after a few months (or whatever time frame) and pay each time. Knock yourself out.
If you have a Fluke box, send it to Fluke for Cal. They will at least do an adjust for you (if you pay for that).
There might be a few others but usually labs aren't going to bother with hobbyist boards - that's not going to be a good profit center for the lab. You can always call the lab direct though and find out. I know there are a few labs on the west coast that would measure a hobby board, but you wouldn't trust the result too much if you're after true absolute voltage values.
If you're in it as a business, you probably won't be trying to characterize a self-built-in-the-garage reference anyway.
If you're going to be in PPM world, it's far better to acquire your own 732's, null meters, KVD's and maybe some 3458's or similar, and keep those in a working, cozy warm, cal'd condition. And then measure your own self-built references to your own freshly cal'd equipment, in your own lab. As pointed out countless times: You need multiple voltage references to measure against even to get to accurate low PPM absolute measures - at least 3 references to get down in the 2 or 3ppm range usually, if not more. More sources and measurement techniques lowers uncertainty and raises confidence.
If a lab says they just have a 3458a as their only Vref, look elsewhere if you really want true absolute accuracy. That instrument is -not- a long-term voltage standard.