Minimus,
You are correct. So let them vote. Even Republican reps who would vote against a clean CR have stated that if a clean CR was voted on (as received from the Senate) it would pass as enough Republicans would vote for it. This is no secret, they have been refreshingly candid about it.
The Speaker will not allow a vote on that matter. IF you really want the House of Reps to, well, REPRESENT why not push the Speaker to allow a vote on a clean CR? Would that not demonstrate the will of the duly elected representatives?
You can't say the House of Reps are doing the peoples bidding when the Speaker will not even allow a vote to demonstrate that. This is nothing more than high stakes politics.