I know you don't want to put in room treatment, but frankly, then, you are just rearranging the chairs. Talk to your wife, look at the colors, and options, and see what is acceptable. If you want better sound, and not just to buy new equipment (which I totally understand), then you can use the money argument. Acoustic panels are cheaper. If you want a lot of movies and television, it can significantly improve voices and understanding them. So lets assume you can put them in and look at what you would need to make a huge improvement.
Put these on your front wall behind the speakers:
https://www.gikacoustics.com/product/gik-acoustics-244-bass-trap-flexrange-technology/ (they have a thinner 4" version that would work too)
You will need a couple per side of larger ones. You will be able to push the speakers even closer to the front wall, and you won’t need to move them out for better listening. You will need to rerun room correction for fix the bass response from being close to the front wall. Not pulling the speaker out and putting them back and even getting more space may help the WAF factor.
Pushing your speakers back you may be able to move seating forward a bit. That will get you away from the back wall which you seem to be sitting close to. That should be your next point of attack. Since you are close, probably some broad absorption. It is a little close to seating for a diffusion panel.
With how wide your room is, get those speakers farther apart. I would say 7 feet, maybe 7.5. More and your side reflections are going to be an issue. If you stay 4 feet, you probably don’t need to treat the side walls for reflections. Even at 7 feet, it may not be too bad. Any more than that, and your side walls are definitely an issue.
Put a nice heavy area run down in front of the speakers, preferably with a heavy underpad.
@kota1 is right. The room is what should be fixed before you fix anything else. Don’t need to go too crazy, but <$1,000 of well placed panels and then running your room correction will do more than anything else you are considering, and then when you do make other upgrades, you will be able to fully enjoy them.

