according to my stamps.com
parcel post package, total length not over 84 inches. 28LB
price is 14.84-33.48.
assuming each rim is box by 22x22x12 = total length 56 inches.
to APO is the most expensive rate so it is 33.48 x 4 = 133.92
need to add tracking number + insurance = ~150 - 160
same package if ship by priority mail will be
4 packages will be 262.48 + insurance = ~$300