You should be ok with UPS ground, not second day or any type of air shipments. You can also ask to have a ORD sticker on package even though some don't.
Just check with your local UPS folks, shouldn't be a problem.
USPS will only ship ORM-D, consumer commodity and will not ship ammo. Big poster on way into most post offices that specifically states what can / can not be shipped.
Use UPS or Fed Ex. Print out and put a couple of the label below on it and you will have no trouble. I use word and put 3 on a page and print them off. Just shipped some out the other day.