Keep in mind that House rules aren't really focused on bids. They don't require anyone to announce their candidacy or even accept it from others.
The members of the House, that we elected, are free to vote for whomever they want, so this is really a story of representatives rejecting each others' proposals than a story about any candidate's bid.
In any case, the position of Speaker is powerful under the rules of the chamber, and intentionally doesn't rely so much on voluntary cooperation. His authority would be strong, under the rules that grant him that authority.
That's probably part of why so many have chosen to vote to keep the House closed rather than get down to business under a powerful Speaker that they disagree with.