Yes he can, in fact there are numerous national or state military cemeteries in his home state:
http://www.cem.va.gov/cems/state.asp?STATE=LA
That is true. The usual requirement by the V.A. is 180 days active duty. States who have joint operation or venture with the V.A. may have less restrictions. I worked in a National Cemetery on work study program back in the early 1980's. The rules for eligibility were simple. 180 days active duty with an Honorable Discharge in peace or war time. When you served didn't matter. The veterans spouse and any dependents under age of majority were also eligible. The one I worked at had a guys wife and 4-5 kids buried there. They all had died on the same day. According to the date I assume the husband/father was likely deployed. It was back in the 1960's I think.
Arlington is different due to it being designated for Honors IIRC thus a stricter eligibility than other National Cemeteries.. Other than that any National or State Veterans Cemetery can set aside an Honors and/or KIA section. These cemeteries take all Honorably Discharged Vets and one spouse and are covered under VA Benefits. Most do charge a fee for spouse burial which is under $1000 and includes the opening, closing, vault, and head stone.
A word of advice to anyone considering this. Find your DD-214 and tell your family where it is so if needed they can find it easily. Also some allow preregistering anytime. The funeral director will need it to show the Cemetery Administrator as proof of eligibility. The ones from the WW2 era look very different than the Korea/Nam and afterward era.