"The “queen of the hill” plan solves these problems. It would bring four bills, in a series, to the House floor for a vote, and whichever one got the biggest vote margin in favor would pass"

The rule overrides the speaker and brings the bills to a vote. Then the one w the most votes, clearly, would pass.

“Queen of the hill”: the obscure House rule that could force the House to take up immigration bills - Vox
https://www.vox.com/2018/4/19/172538...migration-news