I want to run a poll without its existence being publicized – can BallotBox invite my voters to participate without listing the poll on my BallotBox home page?

Yes indeed.  

By default, BallotBox will display all of your launched polls on your organization’s BallotBox home page to make it easier for voters and officers to find them.  However, that listing is publicly available to anyone on the Internet.   There is a checkbox on each poll’s Settings tab called “ Poll not listed on account home page.”  If this checkbox is checked, voters and officers will receive emails from BallotBox about the poll, the same way they always do, but the poll will not be listed on the public BallotBox account home page for your organization.