Oklahoma or Arkansas?

No. FAFSA is a complicated form you fill out in order to get $5,500 in subsidized and unsubsidized loans.
If your father makes less than $29,471, you’d also get $5,750 as a grant (and about 2,500 if he makes about $40,000). That’s it.

Yes, exactly. OU for instance offers an insane amount of money to National Merit Finalists, and as a result they have the most NMFs in the country. The amount they receive is of course factored into the average.
The ONLY public universities that “meet need” for OOS applicants are UVA and UNC-CH; in addition, UMichigan meets need for lower income OOS applicants it admitted.
Most public universities admit OOS students in order to collect the higher fees that’ll offset budget shortfalls.
(Unless the students can bring them fame, like NMFs.)
Public universities’ raison d’etre is serving their state’s residents, who have paid for them with their taxes.
They admit students, instate and OOS. Instate students get a discount due to their parents paying for the universities throughout the years. OOS don’t. But both instate and OOS studens are admitted without any consideration as to whether they’ll be able to attend. If the admitted students can’t afford to pay, the universities consider it’s not their problem.
Only about 80 universities / 3700 consider it “their problem” to ensure that admitted students can afford to attend. These are called “100% meet need” universities. Here’s the rough list:
http://www.thecollegesolution.com/schools-that-meet-100-of-financial-need-2/
Those will require higher scores than the ones listed above and tend to have January deadlines.

To see how much financial aid these two universities would offer and how much they’d cost , use these:
http://finaid.uark.edu/331.php
http://www.ou.edu/financialaid/Financial-Aid-Process/Net-Price-Calculator.html