I picked up a Caldwell picatinny rail-mount brass catcher. I used it at the range yesterday and it works great. The zipper on the bottom empties it very quickly. It also put one brass nicely on the bench when I forgot to zip it up after emptying. I also learned not to set the rifle down on its left side, as this tends to dump the brass into the open bolt. I was amazed to discover that seven empty cases will fit into an AR-15 breech.
Other than that, it never got in my way and didn't really complicate anything after I made those two mistakes.
I'm going to get another mounting bracket for my AR pistol. Once the rail mount is installed, the basket assembly pulls right off and slides right back on. The adjustment rails allow the mount to be independent of the basket position, so I was able to use it on an empty rail section without having to move anything, and then position the basket where it needs to be; one end on the barrel nut and the other on the forward assist housing.
I can't attest to its durability but I like the design, it works great, and it's easy to use.
I'm going to get a Goat for my wife, though. She's a lefty using a right-hand AR and the Caldwell would never work for her. I think the Goat's slimness will make it more doable. Time will tell, though.
Thanks for the help!