We still think it will be better to build your own module, which will manage these questions. The Polls are intended to be used by many people,
Now if you still want to do it with Polls:
1) What I'm trying to do is...
The button text could be changed. Please take a look at the Polls control template. It is better to have just one poll with multiple questions. This way it will be easy to get summary of the result in the end.
2.) Ideally I'd like a ...
The Polls module should be extended here. You can try to create a class which inherits from PollsModule class. In the next major version of Sitefinity, the Polls module will be a Generic Content based, so you will have the option to add metafields.
3) When the user is done...
This depends on the way you implement the polls. Generally, you should be able to get his choices. You should also reset the vote count, and prepare the poll for the next visitor.
4) based on
We do not have a similar scenarios so far (or at least, no one asked before). I think that it will be better if you could create a separate module for your task.
the Telerik team