Once in a tourney match I timed someone out in Brinstar, I think it was Pikachu. I got like what, 3 ledge grabs.
My strategy is to get a noticeable lead, like at least 10%. And then nado at a good moment and the stage will break and then I flee to the other side.
Now you see, the opponent has to approach me from above because there are no ledges or anything between the stage. It works like the lava, force the opponent to go aerial. Also, this way Pika couldn't reach me with his jolts so I could just stand there and react to his actions.
When he approached, I punish it easily to get a better lead or I could run under the stage and glide on the other side to reset the situation.