Too many sacrifices. Small, powerful, quiet. For $1500 you'll get 2 out of the 3 and that's it.
Small cases have better airflow properties than larger cases. That's a given with internal volume. It takes @ 15-20 seconds to completely exchange the volume of air in an average mITX case with just 2x 120mm fans, but can take 3-8 minutes to exchange the air in a Super Tower, even with 7x 120mm fans.
Powerful means power use in high amounts and that's going to create heat. With heat you need a lot more cooling. More cooling means fans which will spin according to need, which creates noise. The more cooling potential you have, the lower the fans spin. More cooling takes more space. Which doesn't work well with a small case.
For a 3080, I'd suggest a hybrid. Use a liquid loop with a good radiator and pwm ddc pump/res combo. The cpu can be part of the loop with another rad, or air-cooled or aio, whichever works best.
That'll get you maximum cooling on the gpu, where it's needed most, the rad can be 45x 240mm, so fits most smaller cases. And get decent, quiet fans with plenty of static pressure.
Your only options for small(ish) case with a 3080 is something like a Dell Aurora series, but those are Far from quiet and constantly run very hot and very loud as a result.