[Plugin: PollDaddy Polls & Ratings] Display random POLL in sidebar widget?

Using the polldaddy poll widget in my sidebar. Works great BUT…
I want to randomly display polls from my polldaddy account instead of just the same one. Currently all I’ve seen to do is shortcode a single poll, and then I have to manually shortcode new ones when I want it to change. Ideally, every time a user goes to a new page I’d like it to display a different poll from my polldaddy account. Much more entertaining and gives the user more stuff to ‘do’.

Is this an obvious thing and I’m missing how to do it?

http://wordpress.org/extend/plugins/polldaddy/