You could just use a HDMI cable and a HDMI screen.
If not, get a sound system with the classic L/R analog cable input (I don't know if the PS3 supports optical audio, but I know the 360 does).
Or get use to subtitles.
Or rip apart a old TV for it's L/R audio input and speakers and use the LCD to play it on.
I haven't tried doing it... but it should be possible. Most LCDs nowadays are very compatible on modern console units. It should work. Good luck!