You can get expedited DUNS number service by opening a DUNSFile at DNB, which costs $229 and will speed up your approval to less than 5 business days. If you’re an Apple developer, you can get the same fast process for free through their system.
Lastly, for those in Asia, there are DUNS Register Seals, which has an even faster process, but also lots of false websites selling it. Unfortunately, the CCR government contractor loophole has been closed with the opening of the System for Award Management at sam.gov.