The biggest question here is your technique for locating the mammals you want to photograph. Since most of them are fairly wary at night -- unless you're shooting, say, cattle -- then you might want to set up a blind (or just sit behind a bush) and wait for the mammal to enter a particular area. If you do that, then the answer is to set up your flash near the area, and fire it remotely from an off-angle. That also takes care of the problem of being too far away. Your flash accepts remote-firing equipment, and it's not too expensive. On the other hand, if you do somehow stalk your mammal at night, you can minimize redeye with a cheap cable from your flash shoe to your flash, and simply learn to hold it in one hand while shooting with the other. The L-bracket you're talking about has had its name pirated by specially made brackets that fit tightly on your camera, and allow the camera to be shifted quickly from horizonal to vertical. Most people now call the bracket you're talking about a "flash bracket." They were quite common with film cameras, but I haven't seen much talk about them since digital came in -- I don't know why, they'd still be useful, and they do eliminate or at least minimize red eye. You can actually buy brackets to hold two small flashes, one of each side of the camera, for hand-held macro work like stalking insects.
Also, you should know that most, even simple, photography software packages have red-eye elimination processes, that removes the red-eye in software.
You can see some brackets here:
http://www.calumetphoto.com/ctl?ac.ui.pn=c...racket&x=18&y=9JC