Tool fan needs help with speakers (and electronics)

Just like the title says. I mainly listen to Progressive Metal, Grunge and Classic Rock.

I'm looking to build a system with an emphasis on speakers. My all in budget is $5K. Will consider used. My listening room is 4,368 cubic feet. 21' (L) x 16' (W) x 13' (H). Tile floor. No acoustic treatments. Not currently interested in vinyl or tube amps.

Any suggestions would be greatly appreciated.

Thx.