Can't update NAP for crucial local citations, help!

I'm completely stuck and beyond frustrated trying to fix lingering NAP inconsistencies across my local citations. Despite weeks of relentless effort, some crucial listings are still stubbornly showing old information, and it's genuinely driving me crazy.

We recently moved offices and, naturally, updated our business address and phone number. I thought I was being proactive, immediately updating our Google My Business profile and all other major platforms. I even used a popular citation building service to push these updates to hundreds of directories, believing that would cover all bases.

Here's what I've tried so far:

• Manually updated Google My Business, Yelp, Bing Places, and Facebook.
• Used BrightLocal (or a similar dummy service) to audit and submit updates to major data aggregators like Factual, Infogroup, and Acxiom, as well as direct submission sites.
• Checked individual high-priority local citations and attempted to edit them directly where possible, often waiting for moderation.
• Submitted removal requests for duplicate listings that appeared to be causing issues or conflicting information.

Despite all this, a recent audit report (and manual checks) shows that a handful of very important local citations are STILL displaying our old address and phone number. It's like they're cached indefinitely or something, and I absolutely cannot force them to update. Here’s a snippet from a recent citation audit tool showing the exact problem:

[2023-10-27 10:35:12] WARNING: NAP_MISMATCH_DETECTED
    Source: 'LocalDirectoryXYZ.com'
    Expected: '123 New St, City, State 12345 | (555) 123-4567'
    Found:    '456 Old Ave, City, State 98765 | (555) 987-6543'
[2023-10-27 10:35:13] WARNING: NAP_MISMATCH_DETECTED
    Source: 'BusinessListingsABC.net'
    Expected: '123 New St, City, State 12345 | (555) 123-4567'
    Found:    '456 Old Ave, City, State 98765 | (555) 987-6543'

This is just a sample, but it's happening across several key sites, and it's incredibly frustrating.

What on earth am I missing here? Is there some secret trick to forcing these incredibly stubborn local citations to update? Are there specific contact methods or tools that can override these old listings when direct edits fail? I'm genuinely worried about the negative impact on our local SEO and the potential confusion for our customers.