“what application works best for a standard 15x15 listening room with gypsum wallboard walls.”
I recommend you seek consultation from GIK, they provide free consultation. Whatever they recommend, I suggest you treat each area in steps. This will allow you to understand the impact of acoustic panels/diffusors and further evaluate the need to treat your room. It’s easy to overdo absorption and kill the liveliness of a space, especially in a smaller room; hence my recommendation for doing it in steps. Not knowing your room, we are just shooting in dark here. Let’s say you have a conventional room with four walls + ceiling which gives you five areas to address,
Front, Back, Sides, Ceiling and Corners.
Starting with the first reflection points (side walls and ceiling) usually gives the biggest improvement in clarity, while bass traps in corners help smooth out low-frequency response. The back wall can be tricky—some rooms benefit from absorption, while others need diffusion to maintain spaciousness.
Hope this helps!