Looks like you only have company names, right? Unfortunately, the LinkedIn tools usually work a lot better with either the company domain or their company LI URL which would likely identify them a lot better and potentially find more people. We have a couple of providers that could help find the company's domain with just the name:
Using that will likely return a lot more people for many companies and then you can use the email waterfall to get their contact information, you can then apply filters to display certain roles at a time or use conditional formulas to label them what each group belongs to depending on keywords. Finally, you just push them out through an export data integration, like maybe to a sequencer like smartlead, lemlist or so