Boy…that’s going to be tough. That combination of features is putting it in genuinely pro category, and if it needs to be smaller than a 1604…I don’t know…tough.
Toft comes to mind, but their smaller mixer only has 4 in, and it’s still no less deep front to back than a 1604. Maybe poke around some of the other high end manufacturers, but budget will explode. Rupert Neve offers something possibly useful I think; Speck is probably physically too big, but features-wise their mixers are ace for mostly line level work. Aurora might have something, but these are putting you in five figure devices. I figure that’s not what you want.
I seem to recall Soundcraft and Allen & Heath offering some interesting smaller mixers. Might have a look at them too.