Yes, BURLESQUES is a Scrabble word!

Letter values in Scrabble US: B 3, U 1, R 1, L 1, E 1, S 1, Q 10, U 1, E 1, S 1.

Is it a valid word?

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

a theatrical entertainment of broad and earthy humor; consists of comic skits and short turns (and sometimes striptease)
a composition that imitates or misrepresents somebody's style, usually in a humorous way

Also: put-on.