@Beermeister32, looks like that carboy went several rounds in the ring with you. Yikes.
I was a long-time glass carboy user. Hell, I probably even defended them on this site a time or two in the past. But I switched to stainless Brew Buckets a couple years ago, and gave away a lot of the carboys. I miss being able to see inside, but it's a small price to pay. I still have a few carboys but rarely use them--the occasional secondary for long-term aging. One is a 3 gallon I use for small batches of Apfelwein. All of them are in plastic milk crates. Even though they are the better-made Italian carboys, they still scare me a little bit, especially when I see pictures like those above. Any glass can break, and when you least expect it.
For me, the pucker factor is highest when washing them. Wet glass + slippery hands = a good chance for a mishap. I keep it in the milk crate while washing.
Those neck-mounted carrying handles are just asking for an accident. Throw them out. In fact, beat 'em with a hammer so someone doesn't find them and decide to use them.
Brew Haulers are not much better, as the OP discovered. It's all fun and games until the carboy slips out between the webbing.
And if you still insist on glass carboys, at least seek out the better ones (stamped "made in Italy" on the bottom). The cheap Chinese versions sold at a lot of places are scary-thin. I've seen pics of some where the glass was blown lopsided, 1/4" thick on one side and light bulb thin on the other.