I hope you most certainly don't plan on flying or taking greyhound with a softshell bike bag.... I've heard horror stories from people who used a cardboard box too. I wouldn't use a softbag unless I was riding in a car.
Baggage handlers and the TSA are notorious.

I personally use and love my trico iron case. Sure they may be a hassle to store but it's well worth it considering it protects it from those monsters. See if any shops have them for rent.