Yes, SNOWSHOE is a Scrabble word!

Letter values in Scrabble US: S 1, N 1, O 1, W 4, S 1, H 4, O 1, E 1.

Is it a valid word?

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

a device to help you walk on deep snow; a lightweight frame shaped like a racquet is strengthened with cross pieces and contains a network of thongs; one is worn on each foot