I don't see any exemptions in there, but I think that of you can show you've been married to a sibling or first cousin for at least a year, or have less than three teeth, it counts toward Arkansas residency.(b) The director shall issue a license if the applicant:
(1) Is a resident of the state and has been a resident
continuously for twelve (12) months or longer immediately preceding the filing
of the application (provided this shall not apply to any retired city, county,
state or federal law enforcement officer);

If they accept UT, FL, or NH non-resident, that might be an option.