Here's another chip amp. The chip is obsolete, but easy to find. Velleman has a PCB kit for this circuit, but it's certainly simple enough to do on stripboard. I built this layout today, it's verified.
Heath, I've run this at 9V, 15V, and 20V, and the difference is about what you'd expect - it works better, i.e. more clean headroom, when supplying it with more voltage.
Looks like you need to secure the chip to a heat sink to cool it. Maybe someone makes an appropriate mount. I certainly wouldn't use a standard plastic IC socket.
The kit instructs you not to socket it because the PCB has a lot of uninterrupted copper serving as both a ground bus and a heat sink. Socketing the IC will leave the ground pins with less of a physical connection to all that, making it a less effective heat sink.
When I want to add a heat sink to an IC like this one, I use a clip-on one with fins, Mouser part number 532-580200B00.