Yes, Little Rock buyers can finance with FHA @ 96.5% actually (minimum score is 620).
A non-government loan would do the 95% financing you're seeking. For the conventional (non-government) financing, credit score is just one part of a borrower's profile. So it is possible to have a lower score along with other compensating factors (such as low debt-to-income, lots of assets, etc). Our bank prefers to see a 680 for 95% financing.
I hope this helps. I am licensed in Arkansas and would love to help.