the best gig bag I have ? well that depends, for protection I have gig bag for my bass that has some serious foam padding, I can throw the bass into the trunk and it is ok when I get there.
But it has one small pocket that will hold maybe a chord and strings, about it. It has a few large loops that you could put straps on.
My Accoustic I have a much thinner bag and you do not abuse it, that would be bad, but it has 3 pockets and can hold a lot of gear.
THe first one is made by Gibson and I highly recommend it the second is just some other brand and I will say it is useful, but in a protected environment
I do not think the OP is wanting a light duty bag, he wants to travel with the Axe. I would recommend the first to him.
as a side not I carry a equipment gig bag also with tools, strings, tubes, polish, finger ease, fx pedals, picks and et al in it that I have a long over the shoulder strap on.
Also I have found a very small stand that weighs less than a pound and folds up really small that is a back saver on the road.