Yes, SCHROD is a Scrabble word!

Letter values in Scrabble US: S 1, C 3, H 4, R 1, O 1, D 2.

Is it a valid word?

SCHROD is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

flesh of young Atlantic cod weighing up to 2 pounds; also young haddock and pollock; often broiled
young Atlantic cod or haddock especially one split and boned for cooking