How much salary and asset can save parents time not to fill in FAFSA?

You’re suggesting two different things. The most expensive school is not necessarily going to be the most generous school. That’s why the best answer to OP’s question, when considering institutional need-based aid, is “it depends.” The best way to make an early estimate of how much, if any, need-based aid might be offered is to use the NPC of each school that is of interest.