I'm using a self-made (actually, Alcaro wrote it for me back in the day) PHP script to randomize CSS files with display text. You need a domain to host working .php files, so it won't work from say, your file bin (Alcaro also happens to host pk.muncher.se for me). I don't believe sites with that purpose exist like there are for random images, as it's a more specialized thing.
Note that it isn't actually real text written in this page, but CSS display text, so you can't select it. There is a workaround to make it selectable, but it would require typing every individual string in the title field, which would most likely exceed the character limit by a lot.
Short answer: you need PHP, CSS and a domain/a friend who has a domain.