The new policy for federal funders is day one open access for publications and underlying data. For grants in development and future grants, you should budget projected APCs directly into the grant. Background: https://guides.lib.wayne.edu/scholcomm/ostp2022 and https://datasharing.sparcopen.org/data/.
The Library system does not provide comprehensive funding for APCs. We maintain a handful of read & publish agreements with publishers. Our agreements are listed on the right hand sidebar of the "APCs" page on the Scholcomm libguide, https://guides.lib.wayne.edu/scholcomm/apcs, under "APC Funding or Discounts."
Compliance requires publishing in a journal that allows immediate deposit to the funding agency's designated repository (e.g., NIH requires deposit in PubMed). Many publishers do not require APCs for open access publication.
PubMed Central maintains a list of journals that have an agreement to deposit in place: https://pmc.ncbi.nlm.nih.gov/journals/ It can be filtered by the active status of the agreement and the embargo required. Filtering to "Active" agreements with "Immediate release" will identify journals that would be in compliance with the new open access requirements. These will likely require payment of an APC.
Users can search DOAJ (https://doaj.org) for a subject and select "without fees" to find open access titles in that discipline that don't charge APCs.
In Web of Science, users can search a topic and use the open access filter to choose all types except Gold and Gold-Hybrid (the two "colors" that definitively charge APCs), then canvass those results for possible venues.
https://guides.lib.wayne.edu/scholcomm/apcs