I have never been part of the Low Income Housing Tax Credit program, and I am not familiar with the program requirements.
Does HUD require you to file annual papers with them, for which you need information updates from your tenants?
If you need to verify that your tenants remain eligible to reside in your housing in order for you to get the tax credits, then your lease should specify the tenant's obligation to provide you with the necessary information, and that should be a breach that is grounds for eviction.
You do realize, I hope, that it is dificult to get information on eviction cases that do not get appealed, right? Most evictions are not reported in the local newspapers or in law reports. So even if there are LIHTC evictions, you would probably not know about them.