Re-running Find People at Companies with New Company Lists

What is the best way to re-run a "Find People at Companies" on the same table with the same search query, but with new companies. Meaning I'll run verification on 50 / 100 companies - do Find People and send it to another table, then do the verification on next 50 / 100 - and want to then find the people at those new 50 companies. I don't see any easy way to re-run the Find People without building it again from scratch.