I'm guessing this is more complicated than I thought.
Any opinions or comments on how best to tackle this space?
I don't know if simple room modeling will allow for the angled sidewall/ceiling surfaces, which will result in earlier and stronger reflections towards the listening position than if they weren't there. Conventional wisdom would probably be to place bass traps in the front corners; the widest range absorption (preferably at least 4" depth) you can tolerate at first reflection points for the front channels on the sidewalls, ceiling, and also on angled sidewall/ceiling; and full-range absorption on the front wall and back surfaces, including that angled one that has a surround speaker mounted, since that would appear to provide an early reflection from the left front speaker. Some diffusion elements on the sidewalls and angled sidewall/ceiling surfaces behind the listening positions (at least the primary ones) might be desirable.
However, the speakers appear to be open baffle designs, which have less output to the sides than conventional designs (you seem to have them positioned "firing" straight ahead, but angling them towards the center of the room might be beneficial for time-intensity trading and also further reducing the strength of first reflections from the nearer surfaces for the left and right channels). Sigfried Linkwitz argues for less absorption and more diffusion with such designs (see the section regarding OB speakers at
https://www.linkwitzlab.com/conclusions.htm), including behind the front channels (
https://www.linkwitzlab.com/rooms.htm#D). You would still want to place significant absorption on the rear wall surfaces, however.