I've never used WP Super Cache so I can't comment there, but having used W3 Total Cache I can say that the performance I get with W3 Total Cache is exactly the same as when I tried out Jekyll/Octopress since both solutions are only serving static HTML files and nothing else.
Then again, 300 visits per second, estimating 250KB for the entire page (css, js, images, etc) is about 75Mbps which is going to be a lot to ask from any shared hosting provider.