Shipping Regs reguire an ORM sign and the words "consumer commodity" and "small arms ammunition" on the box....which needs to be heavy-duty....about a 200# test-weight.
UPS charges by package size, shipping weight and distance. Ammo does not cost extra. The first $100 insurance is free.
I've found that weighing your package on a bathroom scale gets it close enough. Heck, sometimes I just guess at it, 'cause UPS aint all that picky.
They got a cost estimater on their website.
Just as a point of reference....
I recently sent 450 Rds of 38/357 ammo from here to Washington State by UPS. It was sent "regular ground" and cost me $24 including the pick up fee. It was picked up from my door on a Monday afternoon and arrived at the buyers location 4 days later.
I've used UPS many times over the past several years without a single problem.
Having said that though, bear in mind that they do not move on weekends....So you might want to ship early in the week to prevent delays.
Hope this helps.
DGW