There are ALOT of argies on Dead Island (aka Carno Island) it’s practically overopulated with them! But be careful, carno island is very dangerous, so you might wanna bring a quetz or something to carry them to a safer area
An argentavis can't fit through a ceiling with one tile missing, but a pteranadon or lymantria can. Build a trap with one corner ceiling missing, aggro the argentavis, fly in one side and out the missing ceiling tile, and land. Dismount, run around, and close the entry door. Tame safely at your leisure.