I was easily able to tame a low level one in the redwoods. Let one attack your pteranodon and lead it to a tree platform. Tranqed it while it attacked my ptera and it fell asleep on the platform. Easy way to do it solo without a trap. Darts work best for knocking out quickly
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.