I'd say no. Brave isn't good because Toxicroak's speed is already mediocre at base 85. Its optimum nature would be Jolly or Timid, depending if you want a physical or special set, but a physical set is more recommended for Toxicroak since it packs Sucker Punch.
Also, mixed sets are generally unadvisable for most Pokemon, with the few exception being Salamence & Infernape. Toxicroak is not suited for a mixed move set. If you want it to have a Poison move, go for Poison Jab.